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Finding the Fourth Proportional to 54,630.46, 75,391.46 and 30,758.01

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Solution

The fourth proportional to 54,630.46, 75,391.46 and 30,758.01 is: 42,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,630.46 : 75,391.46 = 30,758.01 : x
  2. Step 2: Convert to fraction form
    54,630.46/75,391.46 = 30,758.01/x
  3. Step 3: Cross multiply
    54,630.46x = 75,391.46 × 30,758.01
  4. Step 4: Simplify right side
    54,630.46x = 2,318,891,280.59
  5. Step 5: Solve for x
    x = 2,318,891,280.59/54,630.46
  6. Step 6: Final answer
    x = 42,446.86

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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.