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Finding the Fourth Proportional to 31,642.56, 47,476.95 and 13,864.05

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Solution

The fourth proportional to 31,642.56, 47,476.95 and 13,864.05 is: 20,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.56 : 47,476.95 = 13,864.05 : x
  2. Step 2: Convert to fraction form
    31,642.56/47,476.95 = 13,864.05/x
  3. Step 3: Cross multiply
    31,642.56x = 47,476.95 × 13,864.05
  4. Step 4: Simplify right side
    31,642.56x = 658,222,808.65
  5. Step 5: Solve for x
    x = 658,222,808.65/31,642.56
  6. Step 6: Final answer
    x = 20,801.82

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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.