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Finding the Fourth Proportional to 20,807.10, 31,145.85 and 20,159.10

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Solution

The fourth proportional to 20,807.10, 31,145.85 and 20,159.10 is: 30,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.10 : 31,145.85 = 20,159.10 : x
  2. Step 2: Convert to fraction form
    20,807.10/31,145.85 = 20,159.10/x
  3. Step 3: Cross multiply
    20,807.10x = 31,145.85 × 20,159.10
  4. Step 4: Simplify right side
    20,807.10x = 627,872,304.74
  5. Step 5: Solve for x
    x = 627,872,304.74/20,807.10
  6. Step 6: Final answer
    x = 30,175.87

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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.