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Finding the Fourth Proportional to 54,865.35, 75,714.33 and 29,714.85

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Solution

The fourth proportional to 54,865.35, 75,714.33 and 29,714.85 is: 41,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,865.35 : 75,714.33 = 29,714.85 : x
  2. Step 2: Convert to fraction form
    54,865.35/75,714.33 = 29,714.85/x
  3. Step 3: Cross multiply
    54,865.35x = 75,714.33 × 29,714.85
  4. Step 4: Simplify right side
    54,865.35x = 2,249,839,431.65
  5. Step 5: Solve for x
    x = 2,249,839,431.65/54,865.35
  6. Step 6: Final answer
    x = 41,006.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.