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Finding the Fourth Proportional to 82,742.52, 123,957.30 and 48,907.32

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Solution

The fourth proportional to 82,742.52, 123,957.30 and 48,907.32 is: 73,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,742.52 : 123,957.30 = 48,907.32 : x
  2. Step 2: Convert to fraction form
    82,742.52/123,957.30 = 48,907.32/x
  3. Step 3: Cross multiply
    82,742.52x = 123,957.30 × 48,907.32
  4. Step 4: Simplify right side
    82,742.52x = 6,062,419,337.44
  5. Step 5: Solve for x
    x = 6,062,419,337.44/82,742.52
  6. Step 6: Final answer
    x = 73,268.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.