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Finding the Fourth Proportional to 96,097.38, 132,477.36 and 74,549.11

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Solution

The fourth proportional to 96,097.38, 132,477.36 and 74,549.11 is: 102,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,097.38 : 132,477.36 = 74,549.11 : x
  2. Step 2: Convert to fraction form
    96,097.38/132,477.36 = 74,549.11/x
  3. Step 3: Cross multiply
    96,097.38x = 132,477.36 × 74,549.11
  4. Step 4: Simplify right side
    96,097.38x = 9,876,069,138.33
  5. Step 5: Solve for x
    x = 9,876,069,138.33/96,097.38
  6. Step 6: Final answer
    x = 102,771.47

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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.