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Finding the Fourth Proportional to 67,461.60, 101,253.60 and 34,204.80

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Solution

The fourth proportional to 67,461.60, 101,253.60 and 34,204.80 is: 51,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,461.60 : 101,253.60 = 34,204.80 : x
  2. Step 2: Convert to fraction form
    67,461.60/101,253.60 = 34,204.80/x
  3. Step 3: Cross multiply
    67,461.60x = 101,253.60 × 34,204.80
  4. Step 4: Simplify right side
    67,461.60x = 3,463,359,137.28
  5. Step 5: Solve for x
    x = 3,463,359,137.28/67,461.60
  6. Step 6: Final answer
    x = 51,338.23

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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.