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Finding the Fourth Proportional to 48,503.80, 66,929.82 and 27,282.61

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Solution

The fourth proportional to 48,503.80, 66,929.82 and 27,282.61 is: 37,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,503.80 : 66,929.82 = 27,282.61 : x
  2. Step 2: Convert to fraction form
    48,503.80/66,929.82 = 27,282.61/x
  3. Step 3: Cross multiply
    48,503.80x = 66,929.82 × 27,282.61
  4. Step 4: Simplify right side
    48,503.80x = 1,826,020,176.43
  5. Step 5: Solve for x
    x = 1,826,020,176.43/48,503.80
  6. Step 6: Final answer
    x = 37,646.95

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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.