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Finding the Fourth Proportional to 49,193.48, 67,886.70 and 27,972.76

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Solution

The fourth proportional to 49,193.48, 67,886.70 and 27,972.76 is: 38,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,193.48 : 67,886.70 = 27,972.76 : x
  2. Step 2: Convert to fraction form
    49,193.48/67,886.70 = 27,972.76/x
  3. Step 3: Cross multiply
    49,193.48x = 67,886.70 × 27,972.76
  4. Step 4: Simplify right side
    49,193.48x = 1,898,978,366.29
  5. Step 5: Solve for x
    x = 1,898,978,366.29/49,193.48
  6. Step 6: Final answer
    x = 38,602.24

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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.