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Finding the Fourth Proportional to 31,994.26, 48,002.19 and 20,156.92

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Solution

The fourth proportional to 31,994.26, 48,002.19 and 20,156.92 is: 30,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.26 : 48,002.19 = 20,156.92 : x
  2. Step 2: Convert to fraction form
    31,994.26/48,002.19 = 20,156.92/x
  3. Step 3: Cross multiply
    31,994.26x = 48,002.19 × 20,156.92
  4. Step 4: Simplify right side
    31,994.26x = 967,576,303.65
  5. Step 5: Solve for x
    x = 967,576,303.65/31,994.26
  6. Step 6: Final answer
    x = 30,242.18

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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.