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Finding the Fourth Proportional to 49,113.18, 67,757.04 and 27,889.56

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Solution

The fourth proportional to 49,113.18, 67,757.04 and 27,889.56 is: 38,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,113.18 : 67,757.04 = 27,889.56 : x
  2. Step 2: Convert to fraction form
    49,113.18/67,757.04 = 27,889.56/x
  3. Step 3: Cross multiply
    49,113.18x = 67,757.04 × 27,889.56
  4. Step 4: Simplify right side
    49,113.18x = 1,889,714,032.50
  5. Step 5: Solve for x
    x = 1,889,714,032.50/49,113.18
  6. Step 6: Final answer
    x = 38,476.72

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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.