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Finding the Fourth Proportional to 31,746.33, 43,807.65 and 17,403.87

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Solution

The fourth proportional to 31,746.33, 43,807.65 and 17,403.87 is: 24,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.33 : 43,807.65 = 17,403.87 : x
  2. Step 2: Convert to fraction form
    31,746.33/43,807.65 = 17,403.87/x
  3. Step 3: Cross multiply
    31,746.33x = 43,807.65 × 17,403.87
  4. Step 4: Simplify right side
    31,746.33x = 762,422,645.61
  5. Step 5: Solve for x
    x = 762,422,645.61/31,746.33
  6. Step 6: Final answer
    x = 24,016.09

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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.