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Finding the Fourth Proportional to 30,240.74, 41,711.56 and 27,731.16

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Solution

The fourth proportional to 30,240.74, 41,711.56 and 27,731.16 is: 38,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240.74 : 41,711.56 = 27,731.16 : x
  2. Step 2: Convert to fraction form
    30,240.74/41,711.56 = 27,731.16/x
  3. Step 3: Cross multiply
    30,240.74x = 41,711.56 × 27,731.16
  4. Step 4: Simplify right side
    30,240.74x = 1,156,709,874.88
  5. Step 5: Solve for x
    x = 1,156,709,874.88/30,240.74
  6. Step 6: Final answer
    x = 38,250.05

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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.