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Finding the Fourth Proportional to 27,542.40, 38,611.20 and 27,542.40

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Solution

The fourth proportional to 27,542.40, 38,611.20 and 27,542.40 is: 38,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.40 : 38,611.20 = 27,542.40 : x
  2. Step 2: Convert to fraction form
    27,542.40/38,611.20 = 27,542.40/x
  3. Step 3: Cross multiply
    27,542.40x = 38,611.20 × 27,542.40
  4. Step 4: Simplify right side
    27,542.40x = 1,063,445,114.88
  5. Step 5: Solve for x
    x = 1,063,445,114.88/27,542.40
  6. Step 6: Final answer
    x = 38,611.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.