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Finding the Fourth Proportional to 31,590.46, 43,594.26 and 17,443

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Solution

The fourth proportional to 31,590.46, 43,594.26 and 17,443 is: 24,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.46 : 43,594.26 = 17,443 : x
  2. Step 2: Convert to fraction form
    31,590.46/43,594.26 = 17,443/x
  3. Step 3: Cross multiply
    31,590.46x = 43,594.26 × 17,443
  4. Step 4: Simplify right side
    31,590.46x = 760,414,677.18
  5. Step 5: Solve for x
    x = 760,414,677.18/31,590.46
  6. Step 6: Final answer
    x = 24,071.02

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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.