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Finding the Fourth Proportional to 54,751.50, 75,557.10 and 29,601

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Solution

The fourth proportional to 54,751.50, 75,557.10 and 29,601 is: 40,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.50 : 75,557.10 = 29,601 : x
  2. Step 2: Convert to fraction form
    54,751.50/75,557.10 = 29,601/x
  3. Step 3: Cross multiply
    54,751.50x = 75,557.10 × 29,601
  4. Step 4: Simplify right side
    54,751.50x = 2,236,565,717.10
  5. Step 5: Solve for x
    x = 2,236,565,717.10/54,751.50
  6. Step 6: Final answer
    x = 40,849.40

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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.