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Finding the Fourth Proportional to 38,424.60, 53,031.12 and 22,515.39

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Solution

The fourth proportional to 38,424.60, 53,031.12 and 22,515.39 is: 31,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.60 : 53,031.12 = 22,515.39 : x
  2. Step 2: Convert to fraction form
    38,424.60/53,031.12 = 22,515.39/x
  3. Step 3: Cross multiply
    38,424.60x = 53,031.12 × 22,515.39
  4. Step 4: Simplify right side
    38,424.60x = 1,194,016,348.94
  5. Step 5: Solve for x
    x = 1,194,016,348.94/38,424.60
  6. Step 6: Final answer
    x = 31,074.27

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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.