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Finding the Fourth Proportional to 38,077.88, 52,540.18 and 24,647.27

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Solution

The fourth proportional to 38,077.88, 52,540.18 and 24,647.27 is: 34,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,077.88 : 52,540.18 = 24,647.27 : x
  2. Step 2: Convert to fraction form
    38,077.88/52,540.18 = 24,647.27/x
  3. Step 3: Cross multiply
    38,077.88x = 52,540.18 × 24,647.27
  4. Step 4: Simplify right side
    38,077.88x = 1,294,971,677.99
  5. Step 5: Solve for x
    x = 1,294,971,677.99/38,077.88
  6. Step 6: Final answer
    x = 34,008.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.