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Finding the Fourth Proportional to 61,591.04, 85,003.68 and 34,742

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Solution

The fourth proportional to 61,591.04, 85,003.68 and 34,742 is: 47,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,591.04 : 85,003.68 = 34,742 : x
  2. Step 2: Convert to fraction form
    61,591.04/85,003.68 = 34,742/x
  3. Step 3: Cross multiply
    61,591.04x = 85,003.68 × 34,742
  4. Step 4: Simplify right side
    61,591.04x = 2,953,197,850.56
  5. Step 5: Solve for x
    x = 2,953,197,850.56/61,591.04
  6. Step 6: Final answer
    x = 47,948.50

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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.