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Finding the Fourth Proportional to 54,735.38, 75,534.83 and 29,584.88

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Solution

The fourth proportional to 54,735.38, 75,534.83 and 29,584.88 is: 40,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735.38 : 75,534.83 = 29,584.88 : x
  2. Step 2: Convert to fraction form
    54,735.38/75,534.83 = 29,584.88/x
  3. Step 3: Cross multiply
    54,735.38x = 75,534.83 × 29,584.88
  4. Step 4: Simplify right side
    54,735.38x = 2,234,688,355.77
  5. Step 5: Solve for x
    x = 2,234,688,355.77/54,735.38
  6. Step 6: Final answer
    x = 40,827.13

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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.