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Finding the Fourth Proportional to 31,586.62, 47,338.84 and 12,844.81

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Solution

The fourth proportional to 31,586.62, 47,338.84 and 12,844.81 is: 19,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.62 : 47,338.84 = 12,844.81 : x
  2. Step 2: Convert to fraction form
    31,586.62/47,338.84 = 12,844.81/x
  3. Step 3: Cross multiply
    31,586.62x = 47,338.84 × 12,844.81
  4. Step 4: Simplify right side
    31,586.62x = 608,058,104.50
  5. Step 5: Solve for x
    x = 608,058,104.50/31,586.62
  6. Step 6: Final answer
    x = 19,250.50

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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.