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Finding the Fourth Proportional to 65,078,041.52, 97,565,699.95 and 32,265,986.86

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Solution

The fourth proportional to 65,078,041.52, 97,565,699.95 and 32,265,986.86 is: 48,373,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078,041.52 : 97,565,699.95 = 32,265,986.86 : x
  2. Step 2: Convert to fraction form
    65,078,041.52/97,565,699.95 = 32,265,986.86/x
  3. Step 3: Cross multiply
    65,078,041.52x = 97,565,699.95 × 32,265,986.86
  4. Step 4: Simplify right side
    65,078,041.52x = 3,148,053,592,573,402.50
  5. Step 5: Solve for x
    x = 3,148,053,592,573,402.50/65,078,041.52
  6. Step 6: Final answer
    x = 48,373,514.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.