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Finding the Fourth Proportional to 38,294.88, 52,811.28 and 24,851.76

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Solution

The fourth proportional to 38,294.88, 52,811.28 and 24,851.76 is: 34,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,294.88 : 52,811.28 = 24,851.76 : x
  2. Step 2: Convert to fraction form
    38,294.88/52,811.28 = 24,851.76/x
  3. Step 3: Cross multiply
    38,294.88x = 52,811.28 × 24,851.76
  4. Step 4: Simplify right side
    38,294.88x = 1,312,453,255.85
  5. Step 5: Solve for x
    x = 1,312,453,255.85/38,294.88
  6. Step 6: Final answer
    x = 34,272.29

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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.