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Finding the Fourth Proportional to 31,657.50, 43,684.42 and 17,510.04

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Solution

The fourth proportional to 31,657.50, 43,684.42 and 17,510.04 is: 24,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.50 : 43,684.42 = 17,510.04 : x
  2. Step 2: Convert to fraction form
    31,657.50/43,684.42 = 17,510.04/x
  3. Step 3: Cross multiply
    31,657.50x = 43,684.42 × 17,510.04
  4. Step 4: Simplify right side
    31,657.50x = 764,915,941.58
  5. Step 5: Solve for x
    x = 764,915,941.58/31,657.50
  6. Step 6: Final answer
    x = 24,162.23

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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.