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Finding the Fourth Proportional to 54,676.60, 75,498.42 and 34,565.92

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Solution

The fourth proportional to 54,676.60, 75,498.42 and 34,565.92 is: 47,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676.60 : 75,498.42 = 34,565.92 : x
  2. Step 2: Convert to fraction form
    54,676.60/75,498.42 = 34,565.92/x
  3. Step 3: Cross multiply
    54,676.60x = 75,498.42 × 34,565.92
  4. Step 4: Simplify right side
    54,676.60x = 2,609,672,345.85
  5. Step 5: Solve for x
    x = 2,609,672,345.85/54,676.60
  6. Step 6: Final answer
    x = 47,729.24

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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.