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Finding the Fourth Proportional to 64,823.90, 97,235.85 and 15,575.90

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Solution

The fourth proportional to 64,823.90, 97,235.85 and 15,575.90 is: 23,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,823.90 : 97,235.85 = 15,575.90 : x
  2. Step 2: Convert to fraction form
    64,823.90/97,235.85 = 15,575.90/x
  3. Step 3: Cross multiply
    64,823.90x = 97,235.85 × 15,575.90
  4. Step 4: Simplify right side
    64,823.90x = 1,514,535,876.02
  5. Step 5: Solve for x
    x = 1,514,535,876.02/64,823.90
  6. Step 6: Final answer
    x = 23,363.85

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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.