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Finding the Fourth Proportional to 31,294.85, 43,186.65 and 17,147.66

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Solution

The fourth proportional to 31,294.85, 43,186.65 and 17,147.66 is: 23,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.85 : 43,186.65 = 17,147.66 : x
  2. Step 2: Convert to fraction form
    31,294.85/43,186.65 = 17,147.66/x
  3. Step 3: Cross multiply
    31,294.85x = 43,186.65 × 17,147.66
  4. Step 4: Simplify right side
    31,294.85x = 740,549,990.74
  5. Step 5: Solve for x
    x = 740,549,990.74/31,294.85
  6. Step 6: Final answer
    x = 23,663.64

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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.