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Finding the Fourth Proportional to 31,990.60, 47,857.74 and 27,654.76

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Solution

The fourth proportional to 31,990.60, 47,857.74 and 27,654.76 is: 41,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.60 : 47,857.74 = 27,654.76 : x
  2. Step 2: Convert to fraction form
    31,990.60/47,857.74 = 27,654.76/x
  3. Step 3: Cross multiply
    31,990.60x = 47,857.74 × 27,654.76
  4. Step 4: Simplify right side
    31,990.60x = 1,323,494,313.84
  5. Step 5: Solve for x
    x = 1,323,494,313.84/31,990.60
  6. Step 6: Final answer
    x = 41,371.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.