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Finding the Fourth Proportional to 31,843.48, 47,765.67 and 12,123.11

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Solution

The fourth proportional to 31,843.48, 47,765.67 and 12,123.11 is: 18,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.48 : 47,765.67 = 12,123.11 : x
  2. Step 2: Convert to fraction form
    31,843.48/47,765.67 = 12,123.11/x
  3. Step 3: Cross multiply
    31,843.48x = 47,765.67 × 12,123.11
  4. Step 4: Simplify right side
    31,843.48x = 579,068,411.02
  5. Step 5: Solve for x
    x = 579,068,411.02/31,843.48
  6. Step 6: Final answer
    x = 18,184.84

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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.