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Finding the Fourth Proportional to 96,970, 133,820.22 and 63,436

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Solution

The fourth proportional to 96,970, 133,820.22 and 63,436 is: 87,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,970 : 133,820.22 = 63,436 : x
  2. Step 2: Convert to fraction form
    96,970/133,820.22 = 63,436/x
  3. Step 3: Cross multiply
    96,970x = 133,820.22 × 63,436
  4. Step 4: Simplify right side
    96,970x = 8,489,019,475.92
  5. Step 5: Solve for x
    x = 8,489,019,475.92/96,970
  6. Step 6: Final answer
    x = 87,542.74

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