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Finding the Fourth Proportional to 31,785.97, 47,681.23 and 8,412.13

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Solution

The fourth proportional to 31,785.97, 47,681.23 and 8,412.13 is: 12,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.97 : 47,681.23 = 8,412.13 : x
  2. Step 2: Convert to fraction form
    31,785.97/47,681.23 = 8,412.13/x
  3. Step 3: Cross multiply
    31,785.97x = 47,681.23 × 8,412.13
  4. Step 4: Simplify right side
    31,785.97x = 401,100,705.32
  5. Step 5: Solve for x
    x = 401,100,705.32/31,785.97
  6. Step 6: Final answer
    x = 12,618.80

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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.