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Finding the Fourth Proportional to 31,660.80, 47,498.40 and 18,506.40

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Solution

The fourth proportional to 31,660.80, 47,498.40 and 18,506.40 is: 27,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.80 : 47,498.40 = 18,506.40 : x
  2. Step 2: Convert to fraction form
    31,660.80/47,498.40 = 18,506.40/x
  3. Step 3: Cross multiply
    31,660.80x = 47,498.40 × 18,506.40
  4. Step 4: Simplify right side
    31,660.80x = 879,024,389.76
  5. Step 5: Solve for x
    x = 879,024,389.76/31,660.80
  6. Step 6: Final answer
    x = 27,763.81

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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.