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Finding the Fourth Proportional to 75,871.40, 113,807.10 and 52,251.80

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Solution

The fourth proportional to 75,871.40, 113,807.10 and 52,251.80 is: 78,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,871.40 : 113,807.10 = 52,251.80 : x
  2. Step 2: Convert to fraction form
    75,871.40/113,807.10 = 52,251.80/x
  3. Step 3: Cross multiply
    75,871.40x = 113,807.10 × 52,251.80
  4. Step 4: Simplify right side
    75,871.40x = 5,946,625,827.78
  5. Step 5: Solve for x
    x = 5,946,625,827.78/75,871.40
  6. Step 6: Final answer
    x = 78,377.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.