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Finding the Fourth Proportional to 78,031.20, 117,046.80 and 62,479.20

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Solution

The fourth proportional to 78,031.20, 117,046.80 and 62,479.20 is: 93,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,031.20 : 117,046.80 = 62,479.20 : x
  2. Step 2: Convert to fraction form
    78,031.20/117,046.80 = 62,479.20/x
  3. Step 3: Cross multiply
    78,031.20x = 117,046.80 × 62,479.20
  4. Step 4: Simplify right side
    78,031.20x = 7,312,990,426.56
  5. Step 5: Solve for x
    x = 7,312,990,426.56/78,031.20
  6. Step 6: Final answer
    x = 93,718.80

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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.