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Finding the Fourth Proportional to 54,815.70, 75,645.90 and 29,665.20

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Solution

The fourth proportional to 54,815.70, 75,645.90 and 29,665.20 is: 40,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,815.70 : 75,645.90 = 29,665.20 : x
  2. Step 2: Convert to fraction form
    54,815.70/75,645.90 = 29,665.20/x
  3. Step 3: Cross multiply
    54,815.70x = 75,645.90 × 29,665.20
  4. Step 4: Simplify right side
    54,815.70x = 2,244,050,752.68
  5. Step 5: Solve for x
    x = 2,244,050,752.68/54,815.70
  6. Step 6: Final answer
    x = 40,938.10

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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.