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Finding the Fourth Proportional to 54,838.40, 75,690.24 and 32,182.40

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Solution

The fourth proportional to 54,838.40, 75,690.24 and 32,182.40 is: 44,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.40 : 75,690.24 = 32,182.40 : x
  2. Step 2: Convert to fraction form
    54,838.40/75,690.24 = 32,182.40/x
  3. Step 3: Cross multiply
    54,838.40x = 75,690.24 × 32,182.40
  4. Step 4: Simplify right side
    54,838.40x = 2,435,893,579.78
  5. Step 5: Solve for x
    x = 2,435,893,579.78/54,838.40
  6. Step 6: Final answer
    x = 44,419.49

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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.