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Finding the Fourth Proportional to 49,060.86, 67,706.07 and 27,842.10

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Solution

The fourth proportional to 49,060.86, 67,706.07 and 27,842.10 is: 38,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,060.86 : 67,706.07 = 27,842.10 : x
  2. Step 2: Convert to fraction form
    49,060.86/67,706.07 = 27,842.10/x
  3. Step 3: Cross multiply
    49,060.86x = 67,706.07 × 27,842.10
  4. Step 4: Simplify right side
    49,060.86x = 1,885,079,171.55
  5. Step 5: Solve for x
    x = 1,885,079,171.55/49,060.86
  6. Step 6: Final answer
    x = 38,423.28

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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.