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Finding the Fourth Proportional to 54,282.70, 81,411.90 and 35,693.20

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Solution

The fourth proportional to 54,282.70, 81,411.90 and 35,693.20 is: 53,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,282.70 : 81,411.90 = 35,693.20 : x
  2. Step 2: Convert to fraction form
    54,282.70/81,411.90 = 35,693.20/x
  3. Step 3: Cross multiply
    54,282.70x = 81,411.90 × 35,693.20
  4. Step 4: Simplify right side
    54,282.70x = 2,905,851,229.08
  5. Step 5: Solve for x
    x = 2,905,851,229.08/54,282.70
  6. Step 6: Final answer
    x = 53,531.81

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Why These Related Problems?

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