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Finding the Fourth Proportional to 54,502.56, 75,191.76 and 34,354.08

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Solution

The fourth proportional to 54,502.56, 75,191.76 and 34,354.08 is: 47,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.56 : 75,191.76 = 34,354.08 : x
  2. Step 2: Convert to fraction form
    54,502.56/75,191.76 = 34,354.08/x
  3. Step 3: Cross multiply
    54,502.56x = 75,191.76 × 34,354.08
  4. Step 4: Simplify right side
    54,502.56x = 2,583,143,738.38
  5. Step 5: Solve for x
    x = 2,583,143,738.38/54,502.56
  6. Step 6: Final answer
    x = 47,394.91

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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.