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Finding the Fourth Proportional to 67,456.71, 101,247.30 and 34,200

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Solution

The fourth proportional to 67,456.71, 101,247.30 and 34,200 is: 51,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,456.71 : 101,247.30 = 34,200 : x
  2. Step 2: Convert to fraction form
    67,456.71/101,247.30 = 34,200/x
  3. Step 3: Cross multiply
    67,456.71x = 101,247.30 × 34,200
  4. Step 4: Simplify right side
    67,456.71x = 3,462,657,660
  5. Step 5: Solve for x
    x = 3,462,657,660/67,456.71
  6. Step 6: Final answer
    x = 51,331.55

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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.