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Finding the Fourth Proportional to 96,442.60, 133,093.92 and 54,000.76

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Solution

The fourth proportional to 96,442.60, 133,093.92 and 54,000.76 is: 74,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,442.60 : 133,093.92 = 54,000.76 : x
  2. Step 2: Convert to fraction form
    96,442.60/133,093.92 = 54,000.76/x
  3. Step 3: Cross multiply
    96,442.60x = 133,093.92 × 54,000.76
  4. Step 4: Simplify right side
    96,442.60x = 7,187,172,831.38
  5. Step 5: Solve for x
    x = 7,187,172,831.38/96,442.60
  6. Step 6: Final answer
    x = 74,522.80

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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.