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Finding the Fourth Proportional to 67,891.59, 101,824.20 and 34,148.61

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Solution

The fourth proportional to 67,891.59, 101,824.20 and 34,148.61 is: 51,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,891.59 : 101,824.20 = 34,148.61 : x
  2. Step 2: Convert to fraction form
    67,891.59/101,824.20 = 34,148.61/x
  3. Step 3: Cross multiply
    67,891.59x = 101,824.20 × 34,148.61
  4. Step 4: Simplify right side
    67,891.59x = 3,477,154,894.36
  5. Step 5: Solve for x
    x = 3,477,154,894.36/67,891.59
  6. Step 6: Final answer
    x = 51,216.28

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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.