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Finding the Fourth Proportional to 54,148.42, 74,734.50 and 32,642.02

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Solution

The fourth proportional to 54,148.42, 74,734.50 and 32,642.02 is: 45,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,148.42 : 74,734.50 = 32,642.02 : x
  2. Step 2: Convert to fraction form
    54,148.42/74,734.50 = 32,642.02/x
  3. Step 3: Cross multiply
    54,148.42x = 74,734.50 × 32,642.02
  4. Step 4: Simplify right side
    54,148.42x = 2,439,485,043.69
  5. Step 5: Solve for x
    x = 2,439,485,043.69/54,148.42
  6. Step 6: Final answer
    x = 45,051.82

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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.