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Finding the Fourth Proportional to 31,803.66, 47,705.49 and 12,077.55

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Solution

The fourth proportional to 31,803.66, 47,705.49 and 12,077.55 is: 18,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.66 : 47,705.49 = 12,077.55 : x
  2. Step 2: Convert to fraction form
    31,803.66/47,705.49 = 12,077.55/x
  3. Step 3: Cross multiply
    31,803.66x = 47,705.49 × 12,077.55
  4. Step 4: Simplify right side
    31,803.66x = 576,165,440.75
  5. Step 5: Solve for x
    x = 576,165,440.75/31,803.66
  6. Step 6: Final answer
    x = 18,116.33

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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.