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Finding the Fourth Proportional to 49,170.76, 67,852.98 and 27,947.08

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Solution

The fourth proportional to 49,170.76, 67,852.98 and 27,947.08 is: 38,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,170.76 : 67,852.98 = 27,947.08 : x
  2. Step 2: Convert to fraction form
    49,170.76/67,852.98 = 27,947.08/x
  3. Step 3: Cross multiply
    49,170.76x = 67,852.98 × 27,947.08
  4. Step 4: Simplify right side
    49,170.76x = 1,896,292,660.30
  5. Step 5: Solve for x
    x = 1,896,292,660.30/49,170.76
  6. Step 6: Final answer
    x = 38,565.45

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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.