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Finding the Fourth Proportional to 31,097.72, 42,916.02 and 17,671.26

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Solution

The fourth proportional to 31,097.72, 42,916.02 and 17,671.26 is: 24,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.72 : 42,916.02 = 17,671.26 : x
  2. Step 2: Convert to fraction form
    31,097.72/42,916.02 = 17,671.26/x
  3. Step 3: Cross multiply
    31,097.72x = 42,916.02 × 17,671.26
  4. Step 4: Simplify right side
    31,097.72x = 758,380,147.59
  5. Step 5: Solve for x
    x = 758,380,147.59/31,097.72
  6. Step 6: Final answer
    x = 24,387.00

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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.