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Finding the Fourth Proportional to 54,098, 81,114.18 and 24,475.04

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Solution

The fourth proportional to 54,098, 81,114.18 and 24,475.04 is: 36,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,098 : 81,114.18 = 24,475.04 : x
  2. Step 2: Convert to fraction form
    54,098/81,114.18 = 24,475.04/x
  3. Step 3: Cross multiply
    54,098x = 81,114.18 × 24,475.04
  4. Step 4: Simplify right side
    54,098x = 1,985,272,800.07
  5. Step 5: Solve for x
    x = 1,985,272,800.07/54,098
  6. Step 6: Final answer
    x = 36,697.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.