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Finding the Fourth Proportional to 54,569.20, 75,304.74 and 30,695.86

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Solution

The fourth proportional to 54,569.20, 75,304.74 and 30,695.86 is: 42,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,569.20 : 75,304.74 = 30,695.86 : x
  2. Step 2: Convert to fraction form
    54,569.20/75,304.74 = 30,695.86/x
  3. Step 3: Cross multiply
    54,569.20x = 75,304.74 × 30,695.86
  4. Step 4: Simplify right side
    54,569.20x = 2,311,543,756.38
  5. Step 5: Solve for x
    x = 2,311,543,756.38/54,569.20
  6. Step 6: Final answer
    x = 42,359.86

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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.