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Finding the Fourth Proportional to 31,637.60, 47,452.80 and 8,266.40

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Solution

The fourth proportional to 31,637.60, 47,452.80 and 8,266.40 is: 12,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637.60 : 47,452.80 = 8,266.40 : x
  2. Step 2: Convert to fraction form
    31,637.60/47,452.80 = 8,266.40/x
  3. Step 3: Cross multiply
    31,637.60x = 47,452.80 × 8,266.40
  4. Step 4: Simplify right side
    31,637.60x = 392,263,825.92
  5. Step 5: Solve for x
    x = 392,263,825.92/31,637.60
  6. Step 6: Final answer
    x = 12,398.66

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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.