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Finding the Fourth Proportional to 54,821.68, 75,654.12 and 29,671.20

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Solution

The fourth proportional to 54,821.68, 75,654.12 and 29,671.20 is: 40,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,821.68 : 75,654.12 = 29,671.20 : x
  2. Step 2: Convert to fraction form
    54,821.68/75,654.12 = 29,671.20/x
  3. Step 3: Cross multiply
    54,821.68x = 75,654.12 × 29,671.20
  4. Step 4: Simplify right side
    54,821.68x = 2,244,748,525.34
  5. Step 5: Solve for x
    x = 2,244,748,525.34/54,821.68
  6. Step 6: Final answer
    x = 40,946.37

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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.