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Finding the Fourth Proportional to 31,405.32, 47,112.84 and 19,549.96

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Solution

The fourth proportional to 31,405.32, 47,112.84 and 19,549.96 is: 29,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.32 : 47,112.84 = 19,549.96 : x
  2. Step 2: Convert to fraction form
    31,405.32/47,112.84 = 19,549.96/x
  3. Step 3: Cross multiply
    31,405.32x = 47,112.84 × 19,549.96
  4. Step 4: Simplify right side
    31,405.32x = 921,054,019.70
  5. Step 5: Solve for x
    x = 921,054,019.70/31,405.32
  6. Step 6: Final answer
    x = 29,327.96

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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.