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Finding the Fourth Proportional to 31,808.26, 47,709.15 and 8,437.06

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Solution

The fourth proportional to 31,808.26, 47,709.15 and 8,437.06 is: 12,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.26 : 47,709.15 = 8,437.06 : x
  2. Step 2: Convert to fraction form
    31,808.26/47,709.15 = 8,437.06/x
  3. Step 3: Cross multiply
    31,808.26x = 47,709.15 × 8,437.06
  4. Step 4: Simplify right side
    31,808.26x = 402,524,961.10
  5. Step 5: Solve for x
    x = 402,524,961.10/31,808.26
  6. Step 6: Final answer
    x = 12,654.73

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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.