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Finding the Fourth Proportional to 54,232.32, 74,835.84 and 31,872

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Solution

The fourth proportional to 54,232.32, 74,835.84 and 31,872 is: 43,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,232.32 : 74,835.84 = 31,872 : x
  2. Step 2: Convert to fraction form
    54,232.32/74,835.84 = 31,872/x
  3. Step 3: Cross multiply
    54,232.32x = 74,835.84 × 31,872
  4. Step 4: Simplify right side
    54,232.32x = 2,385,167,892.48
  5. Step 5: Solve for x
    x = 2,385,167,892.48/54,232.32
  6. Step 6: Final answer
    x = 43,980.56

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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.