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Finding the Fourth Proportional to 31,746.70, 43,808.08 and 17,404.23

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Solution

The fourth proportional to 31,746.70, 43,808.08 and 17,404.23 is: 24,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.70 : 43,808.08 = 17,404.23 : x
  2. Step 2: Convert to fraction form
    31,746.70/43,808.08 = 17,404.23/x
  3. Step 3: Cross multiply
    31,746.70x = 43,808.08 × 17,404.23
  4. Step 4: Simplify right side
    31,746.70x = 762,445,813.16
  5. Step 5: Solve for x
    x = 762,445,813.16/31,746.70
  6. Step 6: Final answer
    x = 24,016.54

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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.