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Finding the Fourth Proportional to 31,406.08, 43,340.52 and 17,259.20

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Solution

The fourth proportional to 31,406.08, 43,340.52 and 17,259.20 is: 23,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.08 : 43,340.52 = 17,259.20 : x
  2. Step 2: Convert to fraction form
    31,406.08/43,340.52 = 17,259.20/x
  3. Step 3: Cross multiply
    31,406.08x = 43,340.52 × 17,259.20
  4. Step 4: Simplify right side
    31,406.08x = 748,022,702.78
  5. Step 5: Solve for x
    x = 748,022,702.78/31,406.08
  6. Step 6: Final answer
    x = 23,817.77

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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.