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Finding the Fourth Proportional to 31,099.50, 42,918.42 and 17,671.32

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Solution

The fourth proportional to 31,099.50, 42,918.42 and 17,671.32 is: 24,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.50 : 42,918.42 = 17,671.32 : x
  2. Step 2: Convert to fraction form
    31,099.50/42,918.42 = 17,671.32/x
  3. Step 3: Cross multiply
    31,099.50x = 42,918.42 × 17,671.32
  4. Step 4: Simplify right side
    31,099.50x = 758,425,133.71
  5. Step 5: Solve for x
    x = 758,425,133.71/31,099.50
  6. Step 6: Final answer
    x = 24,387.05

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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.