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Finding the Fourth Proportional to 54,652.32, 75,419.46 and 30,779.28

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Solution

The fourth proportional to 54,652.32, 75,419.46 and 30,779.28 is: 42,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652.32 : 75,419.46 = 30,779.28 : x
  2. Step 2: Convert to fraction form
    54,652.32/75,419.46 = 30,779.28/x
  3. Step 3: Cross multiply
    54,652.32x = 75,419.46 × 30,779.28
  4. Step 4: Simplify right side
    54,652.32x = 2,321,356,676.79
  5. Step 5: Solve for x
    x = 2,321,356,676.79/54,652.32
  6. Step 6: Final answer
    x = 42,474.99

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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.