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Finding the Fourth Proportional to 31,807.68, 47,717.58 and 12,833.82

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Solution

The fourth proportional to 31,807.68, 47,717.58 and 12,833.82 is: 19,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.68 : 47,717.58 = 12,833.82 : x
  2. Step 2: Convert to fraction form
    31,807.68/47,717.58 = 12,833.82/x
  3. Step 3: Cross multiply
    31,807.68x = 47,717.58 × 12,833.82
  4. Step 4: Simplify right side
    31,807.68x = 612,398,832.56
  5. Step 5: Solve for x
    x = 612,398,832.56/31,807.68
  6. Step 6: Final answer
    x = 19,253.18

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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.