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Finding the Fourth Proportional to 54,976.08, 75,867 and 31,102.26

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Solution

The fourth proportional to 54,976.08, 75,867 and 31,102.26 is: 42,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,976.08 : 75,867 = 31,102.26 : x
  2. Step 2: Convert to fraction form
    54,976.08/75,867 = 31,102.26/x
  3. Step 3: Cross multiply
    54,976.08x = 75,867 × 31,102.26
  4. Step 4: Simplify right side
    54,976.08x = 2,359,635,159.42
  5. Step 5: Solve for x
    x = 2,359,635,159.42/54,976.08
  6. Step 6: Final answer
    x = 42,921.12

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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.