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Finding the Fourth Proportional to 62,122.50, 85,724.64 and 35,265.54

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Solution

The fourth proportional to 62,122.50, 85,724.64 and 35,265.54 is: 48,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,122.50 : 85,724.64 = 35,265.54 : x
  2. Step 2: Convert to fraction form
    62,122.50/85,724.64 = 35,265.54/x
  3. Step 3: Cross multiply
    62,122.50x = 85,724.64 × 35,265.54
  4. Step 4: Simplify right side
    62,122.50x = 3,023,125,720.91
  5. Step 5: Solve for x
    x = 3,023,125,720.91/62,122.50
  6. Step 6: Final answer
    x = 48,663.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.