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Finding the Fourth Proportional to 54,865.50, 75,714.41 and 29,715

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Solution

The fourth proportional to 54,865.50, 75,714.41 and 29,715 is: 41,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,865.50 : 75,714.41 = 29,715 : x
  2. Step 2: Convert to fraction form
    54,865.50/75,714.41 = 29,715/x
  3. Step 3: Cross multiply
    54,865.50x = 75,714.41 × 29,715
  4. Step 4: Simplify right side
    54,865.50x = 2,249,853,544.58
  5. Step 5: Solve for x
    x = 2,249,853,544.58/54,865.50
  6. Step 6: Final answer
    x = 41,006.71

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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.