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Finding the Fourth Proportional to 52,120.65, 71,926.91 and 28,247.25

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Solution

The fourth proportional to 52,120.65, 71,926.91 and 28,247.25 is: 38,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,120.65 : 71,926.91 = 28,247.25 : x
  2. Step 2: Convert to fraction form
    52,120.65/71,926.91 = 28,247.25/x
  3. Step 3: Cross multiply
    52,120.65x = 71,926.91 × 28,247.25
  4. Step 4: Simplify right side
    52,120.65x = 2,031,737,267.26
  5. Step 5: Solve for x
    x = 2,031,737,267.26/52,120.65
  6. Step 6: Final answer
    x = 38,981.43

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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.