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Finding the Fourth Proportional to 31,758.12, 47,655.64 and 14,227.95

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Solution

The fourth proportional to 31,758.12, 47,655.64 and 14,227.95 is: 21,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.12 : 47,655.64 = 14,227.95 : x
  2. Step 2: Convert to fraction form
    31,758.12/47,655.64 = 14,227.95/x
  3. Step 3: Cross multiply
    31,758.12x = 47,655.64 × 14,227.95
  4. Step 4: Simplify right side
    31,758.12x = 678,042,063.14
  5. Step 5: Solve for x
    x = 678,042,063.14/31,758.12
  6. Step 6: Final answer
    x = 21,350.20

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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.