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Finding the Fourth Proportional to 71,848.32, 107,772.70 and 25,101.20

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Solution

The fourth proportional to 71,848.32, 107,772.70 and 25,101.20 is: 37,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,848.32 : 107,772.70 = 25,101.20 : x
  2. Step 2: Convert to fraction form
    71,848.32/107,772.70 = 25,101.20/x
  3. Step 3: Cross multiply
    71,848.32x = 107,772.70 × 25,101.20
  4. Step 4: Simplify right side
    71,848.32x = 2,705,224,097.24
  5. Step 5: Solve for x
    x = 2,705,224,097.24/71,848.32
  6. Step 6: Final answer
    x = 37,651.88

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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.