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Finding the Fourth Proportional to 37,381.13, 51,585.78 and 20,614.13

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Solution

The fourth proportional to 37,381.13, 51,585.78 and 20,614.13 is: 28,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,381.13 : 51,585.78 = 20,614.13 : x
  2. Step 2: Convert to fraction form
    37,381.13/51,585.78 = 20,614.13/x
  3. Step 3: Cross multiply
    37,381.13x = 51,585.78 × 20,614.13
  4. Step 4: Simplify right side
    37,381.13x = 1,063,395,614.07
  5. Step 5: Solve for x
    x = 1,063,395,614.07/37,381.13
  6. Step 6: Final answer
    x = 28,447.39

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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.