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Finding the Fourth Proportional to 83,094.30, 114,724.98 and 51,309.90

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Solution

The fourth proportional to 83,094.30, 114,724.98 and 51,309.90 is: 70,841.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,094.30 : 114,724.98 = 51,309.90 : x
  2. Step 2: Convert to fraction form
    83,094.30/114,724.98 = 51,309.90/x
  3. Step 3: Cross multiply
    83,094.30x = 114,724.98 × 51,309.90
  4. Step 4: Simplify right side
    83,094.30x = 5,886,527,251.30
  5. Step 5: Solve for x
    x = 5,886,527,251.30/83,094.30
  6. Step 6: Final answer
    x = 70,841.53

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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.