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Finding the Fourth Proportional to 54,302.40, 81,380.70 and 38,701.80

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Solution

The fourth proportional to 54,302.40, 81,380.70 and 38,701.80 is: 58,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.40 : 81,380.70 = 38,701.80 : x
  2. Step 2: Convert to fraction form
    54,302.40/81,380.70 = 38,701.80/x
  3. Step 3: Cross multiply
    54,302.40x = 81,380.70 × 38,701.80
  4. Step 4: Simplify right side
    54,302.40x = 3,149,579,575.26
  5. Step 5: Solve for x
    x = 3,149,579,575.26/54,302.40
  6. Step 6: Final answer
    x = 58,000.74

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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.