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Finding the Fourth Proportional to 31,420.80, 43,357.14 and 17,272.80

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Solution

The fourth proportional to 31,420.80, 43,357.14 and 17,272.80 is: 23,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.80 : 43,357.14 = 17,272.80 : x
  2. Step 2: Convert to fraction form
    31,420.80/43,357.14 = 17,272.80/x
  3. Step 3: Cross multiply
    31,420.80x = 43,357.14 × 17,272.80
  4. Step 4: Simplify right side
    31,420.80x = 748,899,207.79
  5. Step 5: Solve for x
    x = 748,899,207.79/31,420.80
  6. Step 6: Final answer
    x = 23,834.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.