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Finding the Fourth Proportional to 54,865.32, 75,714.14 and 29,714.82

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Solution

The fourth proportional to 54,865.32, 75,714.14 and 29,714.82 is: 41,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,865.32 : 75,714.14 = 29,714.82 : x
  2. Step 2: Convert to fraction form
    54,865.32/75,714.14 = 29,714.82/x
  3. Step 3: Cross multiply
    54,865.32x = 75,714.14 × 29,714.82
  4. Step 4: Simplify right side
    54,865.32x = 2,249,832,041.55
  5. Step 5: Solve for x
    x = 2,249,832,041.55/54,865.32
  6. Step 6: Final answer
    x = 41,006.45

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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.