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Finding the Fourth Proportional to 55,024.52, 75,934.72 and 29,874

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Solution

The fourth proportional to 55,024.52, 75,934.72 and 29,874 is: 41,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,024.52 : 75,934.72 = 29,874 : x
  2. Step 2: Convert to fraction form
    55,024.52/75,934.72 = 29,874/x
  3. Step 3: Cross multiply
    55,024.52x = 75,934.72 × 29,874
  4. Step 4: Simplify right side
    55,024.52x = 2,268,473,825.28
  5. Step 5: Solve for x
    x = 2,268,473,825.28/55,024.52
  6. Step 6: Final answer
    x = 41,226.60

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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.