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Finding the Fourth Proportional to 27,537.68, 41,305.80 and 10,007.84

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Solution

The fourth proportional to 27,537.68, 41,305.80 and 10,007.84 is: 15,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.68 : 41,305.80 = 10,007.84 : x
  2. Step 2: Convert to fraction form
    27,537.68/41,305.80 = 10,007.84/x
  3. Step 3: Cross multiply
    27,537.68x = 41,305.80 × 10,007.84
  4. Step 4: Simplify right side
    27,537.68x = 413,381,837.47
  5. Step 5: Solve for x
    x = 413,381,837.47/27,537.68
  6. Step 6: Final answer
    x = 15,011.50

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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.