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Finding the Fourth Proportional to 62,468, 93,714.96 and 25,532

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Solution

The fourth proportional to 62,468, 93,714.96 and 25,532 is: 38,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,468 : 93,714.96 = 25,532 : x
  2. Step 2: Convert to fraction form
    62,468/93,714.96 = 25,532/x
  3. Step 3: Cross multiply
    62,468x = 93,714.96 × 25,532
  4. Step 4: Simplify right side
    62,468x = 2,392,730,358.72
  5. Step 5: Solve for x
    x = 2,392,730,358.72/62,468
  6. Step 6: Final answer
    x = 38,303.30

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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.