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Finding the Fourth Proportional to 67,102.56, 100,671.12 and 25,526.88

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Solution

The fourth proportional to 67,102.56, 100,671.12 and 25,526.88 is: 38,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,102.56 : 100,671.12 = 25,526.88 : x
  2. Step 2: Convert to fraction form
    67,102.56/100,671.12 = 25,526.88/x
  3. Step 3: Cross multiply
    67,102.56x = 100,671.12 × 25,526.88
  4. Step 4: Simplify right side
    67,102.56x = 2,569,819,599.71
  5. Step 5: Solve for x
    x = 2,569,819,599.71/67,102.56
  6. Step 6: Final answer
    x = 38,296.89

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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.