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Finding the Fourth Proportional to 31,746.60, 43,810.84 and 17,406.13

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Solution

The fourth proportional to 31,746.60, 43,810.84 and 17,406.13 is: 24,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.60 : 43,810.84 = 17,406.13 : x
  2. Step 2: Convert to fraction form
    31,746.60/43,810.84 = 17,406.13/x
  3. Step 3: Cross multiply
    31,746.60x = 43,810.84 × 17,406.13
  4. Step 4: Simplify right side
    31,746.60x = 762,577,176.45
  5. Step 5: Solve for x
    x = 762,577,176.45/31,746.60
  6. Step 6: Final answer
    x = 24,020.75

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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.