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Finding the Fourth Proportional to 51,989.29, 71,745 and 28,115.95

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Solution

The fourth proportional to 51,989.29, 71,745 and 28,115.95 is: 38,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,989.29 : 71,745 = 28,115.95 : x
  2. Step 2: Convert to fraction form
    51,989.29/71,745 = 28,115.95/x
  3. Step 3: Cross multiply
    51,989.29x = 71,745 × 28,115.95
  4. Step 4: Simplify right side
    51,989.29x = 2,017,178,832.75
  5. Step 5: Solve for x
    x = 2,017,178,832.75/51,989.29
  6. Step 6: Final answer
    x = 38,799.89

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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.