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Finding the Fourth Proportional to 49,188.98, 67,884 and 27,970.22

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Solution

The fourth proportional to 49,188.98, 67,884 and 27,970.22 is: 38,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188.98 : 67,884 = 27,970.22 : x
  2. Step 2: Convert to fraction form
    49,188.98/67,884 = 27,970.22/x
  3. Step 3: Cross multiply
    49,188.98x = 67,884 × 27,970.22
  4. Step 4: Simplify right side
    49,188.98x = 1,898,730,414.48
  5. Step 5: Solve for x
    x = 1,898,730,414.48/49,188.98
  6. Step 6: Final answer
    x = 38,600.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.