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Finding the Fourth Proportional to 55,023.32, 75,932.16 and 29,872.82

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Solution

The fourth proportional to 55,023.32, 75,932.16 and 29,872.82 is: 41,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,023.32 : 75,932.16 = 29,872.82 : x
  2. Step 2: Convert to fraction form
    55,023.32/75,932.16 = 29,872.82/x
  3. Step 3: Cross multiply
    55,023.32x = 75,932.16 × 29,872.82
  4. Step 4: Simplify right side
    55,023.32x = 2,268,307,747.89
  5. Step 5: Solve for x
    x = 2,268,307,747.89/55,023.32
  6. Step 6: Final answer
    x = 41,224.48

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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.