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Finding the Fourth Proportional to 31,708.60, 47,566.05 and 11,723.34

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Solution

The fourth proportional to 31,708.60, 47,566.05 and 11,723.34 is: 17,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.60 : 47,566.05 = 11,723.34 : x
  2. Step 2: Convert to fraction form
    31,708.60/47,566.05 = 11,723.34/x
  3. Step 3: Cross multiply
    31,708.60x = 47,566.05 × 11,723.34
  4. Step 4: Simplify right side
    31,708.60x = 557,632,976.61
  5. Step 5: Solve for x
    x = 557,632,976.61/31,708.60
  6. Step 6: Final answer
    x = 17,586.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.