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Finding the Fourth Proportional to 32,414.25, 44,731.67 and 17,510.25

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Solution

The fourth proportional to 32,414.25, 44,731.67 and 17,510.25 is: 24,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.25 : 44,731.67 = 17,510.25 : x
  2. Step 2: Convert to fraction form
    32,414.25/44,731.67 = 17,510.25/x
  3. Step 3: Cross multiply
    32,414.25x = 44,731.67 × 17,510.25
  4. Step 4: Simplify right side
    32,414.25x = 783,262,637.07
  5. Step 5: Solve for x
    x = 783,262,637.07/32,414.25
  6. Step 6: Final answer
    x = 24,164.15

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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.