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Finding the Fourth Proportional to 96,572.16, 133,302.24 and 60,822

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Solution

The fourth proportional to 96,572.16, 133,302.24 and 60,822 is: 83,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,572.16 : 133,302.24 = 60,822 : x
  2. Step 2: Convert to fraction form
    96,572.16/133,302.24 = 60,822/x
  3. Step 3: Cross multiply
    96,572.16x = 133,302.24 × 60,822
  4. Step 4: Simplify right side
    96,572.16x = 8,107,708,841.28
  5. Step 5: Solve for x
    x = 8,107,708,841.28/96,572.16
  6. Step 6: Final answer
    x = 83,954.93

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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.