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Finding the Fourth Proportional to 49,102.65, 67,761.74 and 27,881.91

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Solution

The fourth proportional to 49,102.65, 67,761.74 and 27,881.91 is: 38,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102.65 : 67,761.74 = 27,881.91 : x
  2. Step 2: Convert to fraction form
    49,102.65/67,761.74 = 27,881.91/x
  3. Step 3: Cross multiply
    49,102.65x = 67,761.74 × 27,881.91
  4. Step 4: Simplify right side
    49,102.65x = 1,889,326,805.83
  5. Step 5: Solve for x
    x = 1,889,326,805.83/49,102.65
  6. Step 6: Final answer
    x = 38,477.08

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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.