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Finding the Fourth Proportional to 73,123.50, 109,662.98 and 38,044.02

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Solution

The fourth proportional to 73,123.50, 109,662.98 and 38,044.02 is: 57,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,123.50 : 109,662.98 = 38,044.02 : x
  2. Step 2: Convert to fraction form
    73,123.50/109,662.98 = 38,044.02/x
  3. Step 3: Cross multiply
    73,123.50x = 109,662.98 × 38,044.02
  4. Step 4: Simplify right side
    73,123.50x = 4,172,020,414.16
  5. Step 5: Solve for x
    x = 4,172,020,414.16/73,123.50
  6. Step 6: Final answer
    x = 57,054.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.