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Finding the Fourth Proportional to 54,590.92, 75,339.90 and 30,716.20

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Solution

The fourth proportional to 54,590.92, 75,339.90 and 30,716.20 is: 42,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,590.92 : 75,339.90 = 30,716.20 : x
  2. Step 2: Convert to fraction form
    54,590.92/75,339.90 = 30,716.20/x
  3. Step 3: Cross multiply
    54,590.92x = 75,339.90 × 30,716.20
  4. Step 4: Simplify right side
    54,590.92x = 2,314,155,436.38
  5. Step 5: Solve for x
    x = 2,314,155,436.38/54,590.92
  6. Step 6: Final answer
    x = 42,390.85

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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.