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Finding the Fourth Proportional to 96,540.38, 133,225.32 and 54,098.90

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Solution

The fourth proportional to 96,540.38, 133,225.32 and 54,098.90 is: 74,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540.38 : 133,225.32 = 54,098.90 : x
  2. Step 2: Convert to fraction form
    96,540.38/133,225.32 = 54,098.90/x
  3. Step 3: Cross multiply
    96,540.38x = 133,225.32 × 54,098.90
  4. Step 4: Simplify right side
    96,540.38x = 7,207,343,264.15
  5. Step 5: Solve for x
    x = 7,207,343,264.15/96,540.38
  6. Step 6: Final answer
    x = 74,656.26

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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.