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Finding the Fourth Proportional to 37,815.84, 52,182.72 and 21,049.92

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Solution

The fourth proportional to 37,815.84, 52,182.72 and 21,049.92 is: 29,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,815.84 : 52,182.72 = 21,049.92 : x
  2. Step 2: Convert to fraction form
    37,815.84/52,182.72 = 21,049.92/x
  3. Step 3: Cross multiply
    37,815.84x = 52,182.72 × 21,049.92
  4. Step 4: Simplify right side
    37,815.84x = 1,098,442,081.38
  5. Step 5: Solve for x
    x = 1,098,442,081.38/37,815.84
  6. Step 6: Final answer
    x = 29,047.14

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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.