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Finding the Fourth Proportional to 54,207.42, 74,807.31 and 32,697.06

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Solution

The fourth proportional to 54,207.42, 74,807.31 and 32,697.06 is: 45,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,207.42 : 74,807.31 = 32,697.06 : x
  2. Step 2: Convert to fraction form
    54,207.42/74,807.31 = 32,697.06/x
  3. Step 3: Cross multiply
    54,207.42x = 74,807.31 × 32,697.06
  4. Step 4: Simplify right side
    54,207.42x = 2,445,979,103.51
  5. Step 5: Solve for x
    x = 2,445,979,103.51/54,207.42
  6. Step 6: Final answer
    x = 45,122.59

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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.