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Finding the Fourth Proportional to 125,982.61, 188,908.30 and 47,031.91

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Solution

The fourth proportional to 125,982.61, 188,908.30 and 47,031.91 is: 70,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,982.61 : 188,908.30 = 47,031.91 : x
  2. Step 2: Convert to fraction form
    125,982.61/188,908.30 = 47,031.91/x
  3. Step 3: Cross multiply
    125,982.61x = 188,908.30 × 47,031.91
  4. Step 4: Simplify right side
    125,982.61x = 8,884,718,163.85
  5. Step 5: Solve for x
    x = 8,884,718,163.85/125,982.61
  6. Step 6: Final answer
    x = 70,523.37

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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.