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Finding the Fourth Proportional to 31,637.80, 47,456.70 and 8,264.02

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Solution

The fourth proportional to 31,637.80, 47,456.70 and 8,264.02 is: 12,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637.80 : 47,456.70 = 8,264.02 : x
  2. Step 2: Convert to fraction form
    31,637.80/47,456.70 = 8,264.02/x
  3. Step 3: Cross multiply
    31,637.80x = 47,456.70 × 8,264.02
  4. Step 4: Simplify right side
    31,637.80x = 392,183,117.93
  5. Step 5: Solve for x
    x = 392,183,117.93/31,637.80
  6. Step 6: Final answer
    x = 12,396.03

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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.