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Finding the Fourth Proportional to 31,415.16, 43,363.04 and 20,115.08

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Solution

The fourth proportional to 31,415.16, 43,363.04 and 20,115.08 is: 27,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.16 : 43,363.04 = 20,115.08 : x
  2. Step 2: Convert to fraction form
    31,415.16/43,363.04 = 20,115.08/x
  3. Step 3: Cross multiply
    31,415.16x = 43,363.04 × 20,115.08
  4. Step 4: Simplify right side
    31,415.16x = 872,251,018.64
  5. Step 5: Solve for x
    x = 872,251,018.64/31,415.16
  6. Step 6: Final answer
    x = 27,765.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.