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Finding the Fourth Proportional to 27,532.51, 41,315.10 and 10,003.71

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Solution

The fourth proportional to 27,532.51, 41,315.10 and 10,003.71 is: 15,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.51 : 41,315.10 = 10,003.71 : x
  2. Step 2: Convert to fraction form
    27,532.51/41,315.10 = 10,003.71/x
  3. Step 3: Cross multiply
    27,532.51x = 41,315.10 × 10,003.71
  4. Step 4: Simplify right side
    27,532.51x = 413,304,279.02
  5. Step 5: Solve for x
    x = 413,304,279.02/27,532.51
  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.