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Finding the Fourth Proportional to 51,989.28, 71,745 and 28,115.98

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Solution

The fourth proportional to 51,989.28, 71,745 and 28,115.98 is: 38,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,989.28 : 71,745 = 28,115.98 : x
  2. Step 2: Convert to fraction form
    51,989.28/71,745 = 28,115.98/x
  3. Step 3: Cross multiply
    51,989.28x = 71,745 × 28,115.98
  4. Step 4: Simplify right side
    51,989.28x = 2,017,180,985.10
  5. Step 5: Solve for x
    x = 2,017,180,985.10/51,989.28
  6. Step 6: Final answer
    x = 38,799.94

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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.