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Finding the Fourth Proportional to 70,856.16, 97,781.24 and 39,024.98

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Solution

The fourth proportional to 70,856.16, 97,781.24 and 39,024.98 is: 53,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,856.16 : 97,781.24 = 39,024.98 : x
  2. Step 2: Convert to fraction form
    70,856.16/97,781.24 = 39,024.98/x
  3. Step 3: Cross multiply
    70,856.16x = 97,781.24 × 39,024.98
  4. Step 4: Simplify right side
    70,856.16x = 3,815,910,935.38
  5. Step 5: Solve for x
    x = 3,815,910,935.38/70,856.16
  6. Step 6: Final answer
    x = 53,854.33

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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.