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Finding the Fourth Proportional to 65,193.86, 97,853.86 and 31,483.51

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Solution

The fourth proportional to 65,193.86, 97,853.86 and 31,483.51 is: 47,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.86 : 97,853.86 = 31,483.51 : x
  2. Step 2: Convert to fraction form
    65,193.86/97,853.86 = 31,483.51/x
  3. Step 3: Cross multiply
    65,193.86x = 97,853.86 × 31,483.51
  4. Step 4: Simplify right side
    65,193.86x = 3,080,782,774.57
  5. Step 5: Solve for x
    x = 3,080,782,774.57/65,193.86
  6. Step 6: Final answer
    x = 47,255.72

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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.