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Finding the Fourth Proportional to 49,118.01, 67,782.86 and 27,897.22

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Solution

The fourth proportional to 49,118.01, 67,782.86 and 27,897.22 is: 38,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,118.01 : 67,782.86 = 27,897.22 : x
  2. Step 2: Convert to fraction form
    49,118.01/67,782.86 = 27,897.22/x
  3. Step 3: Cross multiply
    49,118.01x = 67,782.86 × 27,897.22
  4. Step 4: Simplify right side
    49,118.01x = 1,890,953,357.65
  5. Step 5: Solve for x
    x = 1,890,953,357.65/49,118.01
  6. Step 6: Final answer
    x = 38,498.17

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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.