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Finding the Fourth Proportional to 31,274.60, 43,156.62 and 17,661.82

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Solution

The fourth proportional to 31,274.60, 43,156.62 and 17,661.82 is: 24,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.60 : 43,156.62 = 17,661.82 : x
  2. Step 2: Convert to fraction form
    31,274.60/43,156.62 = 17,661.82/x
  3. Step 3: Cross multiply
    31,274.60x = 43,156.62 × 17,661.82
  4. Step 4: Simplify right side
    31,274.60x = 762,224,454.25
  5. Step 5: Solve for x
    x = 762,224,454.25/31,274.60
  6. Step 6: Final answer
    x = 24,372.00

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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.