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Finding the Fourth Proportional to 49,079.16, 67,732.74 and 27,859.79

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Solution

The fourth proportional to 49,079.16, 67,732.74 and 27,859.79 is: 38,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,079.16 : 67,732.74 = 27,859.79 : x
  2. Step 2: Convert to fraction form
    49,079.16/67,732.74 = 27,859.79/x
  3. Step 3: Cross multiply
    49,079.16x = 67,732.74 × 27,859.79
  4. Step 4: Simplify right side
    49,079.16x = 1,887,020,081.86
  5. Step 5: Solve for x
    x = 1,887,020,081.86/49,079.16
  6. Step 6: Final answer
    x = 38,448.50

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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.