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Finding the Fourth Proportional to 96,411.80, 133,055.97 and 71,034.10

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Solution

The fourth proportional to 96,411.80, 133,055.97 and 71,034.10 is: 98,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,411.80 : 133,055.97 = 71,034.10 : x
  2. Step 2: Convert to fraction form
    96,411.80/133,055.97 = 71,034.10/x
  3. Step 3: Cross multiply
    96,411.80x = 133,055.97 × 71,034.10
  4. Step 4: Simplify right side
    96,411.80x = 9,451,510,479.56
  5. Step 5: Solve for x
    x = 9,451,510,479.56/96,411.80
  6. Step 6: Final answer
    x = 98,032.71

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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.