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Finding the Fourth Proportional to 37,414.11, 56,121.03 and 9,712.11

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Solution

The fourth proportional to 37,414.11, 56,121.03 and 9,712.11 is: 14,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414.11 : 56,121.03 = 9,712.11 : x
  2. Step 2: Convert to fraction form
    37,414.11/56,121.03 = 9,712.11/x
  3. Step 3: Cross multiply
    37,414.11x = 56,121.03 × 9,712.11
  4. Step 4: Simplify right side
    37,414.11x = 545,053,616.67
  5. Step 5: Solve for x
    x = 545,053,616.67/37,414.11
  6. Step 6: Final answer
    x = 14,568.13

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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.