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Finding the Fourth Proportional to 49,899.12, 68,860.80 and 27,543.12

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Solution

The fourth proportional to 49,899.12, 68,860.80 and 27,543.12 is: 38,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,899.12 : 68,860.80 = 27,543.12 : x
  2. Step 2: Convert to fraction form
    49,899.12/68,860.80 = 27,543.12/x
  3. Step 3: Cross multiply
    49,899.12x = 68,860.80 × 27,543.12
  4. Step 4: Simplify right side
    49,899.12x = 1,896,641,277.70
  5. Step 5: Solve for x
    x = 1,896,641,277.70/49,899.12
  6. Step 6: Final answer
    x = 38,009.51

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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.