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Finding the Fourth Proportional to 67,146.74, 100,729.68 and 25,023.22

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Solution

The fourth proportional to 67,146.74, 100,729.68 and 25,023.22 is: 37,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,146.74 : 100,729.68 = 25,023.22 : x
  2. Step 2: Convert to fraction form
    67,146.74/100,729.68 = 25,023.22/x
  3. Step 3: Cross multiply
    67,146.74x = 100,729.68 × 25,023.22
  4. Step 4: Simplify right side
    67,146.74x = 2,520,580,943.17
  5. Step 5: Solve for x
    x = 2,520,580,943.17/67,146.74
  6. Step 6: Final answer
    x = 37,538.40

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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.