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Finding the Fourth Proportional to 31,799.66, 47,700.50 and 15,996.05

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Solution

The fourth proportional to 31,799.66, 47,700.50 and 15,996.05 is: 23,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,799.66 : 47,700.50 = 15,996.05 : x
  2. Step 2: Convert to fraction form
    31,799.66/47,700.50 = 15,996.05/x
  3. Step 3: Cross multiply
    31,799.66x = 47,700.50 × 15,996.05
  4. Step 4: Simplify right side
    31,799.66x = 763,019,443.42
  5. Step 5: Solve for x
    x = 763,019,443.42/31,799.66
  6. Step 6: Final answer
    x = 23,994.58

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