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Finding the Fourth Proportional to 49,476.96, 68,281.50 and 27,959.24

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Solution

The fourth proportional to 49,476.96, 68,281.50 and 27,959.24 is: 38,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476.96 : 68,281.50 = 27,959.24 : x
  2. Step 2: Convert to fraction form
    49,476.96/68,281.50 = 27,959.24/x
  3. Step 3: Cross multiply
    49,476.96x = 68,281.50 × 27,959.24
  4. Step 4: Simplify right side
    49,476.96x = 1,909,098,846.06
  5. Step 5: Solve for x
    x = 1,909,098,846.06/49,476.96
  6. Step 6: Final answer
    x = 38,585.61

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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.