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Finding the Fourth Proportional to 83,665.71, 125,184.88 and 49,807.88

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Solution

The fourth proportional to 83,665.71, 125,184.88 and 49,807.88 is: 74,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,665.71 : 125,184.88 = 49,807.88 : x
  2. Step 2: Convert to fraction form
    83,665.71/125,184.88 = 49,807.88/x
  3. Step 3: Cross multiply
    83,665.71x = 125,184.88 × 49,807.88
  4. Step 4: Simplify right side
    83,665.71x = 6,235,193,106.46
  5. Step 5: Solve for x
    x = 6,235,193,106.46/83,665.71
  6. Step 6: Final answer
    x = 74,525.07

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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.