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Finding the Fourth Proportional to 83,967.92, 125,903.88 and 34,072.24

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Solution

The fourth proportional to 83,967.92, 125,903.88 and 34,072.24 is: 51,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,967.92 : 125,903.88 = 34,072.24 : x
  2. Step 2: Convert to fraction form
    83,967.92/125,903.88 = 34,072.24/x
  3. Step 3: Cross multiply
    83,967.92x = 125,903.88 × 34,072.24
  4. Step 4: Simplify right side
    83,967.92x = 4,289,827,216.29
  5. Step 5: Solve for x
    x = 4,289,827,216.29/83,967.92
  6. Step 6: Final answer
    x = 51,088.88

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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.