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Finding the Fourth Proportional to 84,474.30, 126,739.62 and 28,320

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Solution

The fourth proportional to 84,474.30, 126,739.62 and 28,320 is: 42,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,474.30 : 126,739.62 = 28,320 : x
  2. Step 2: Convert to fraction form
    84,474.30/126,739.62 = 28,320/x
  3. Step 3: Cross multiply
    84,474.30x = 126,739.62 × 28,320
  4. Step 4: Simplify right side
    84,474.30x = 3,589,266,038.40
  5. Step 5: Solve for x
    x = 3,589,266,038.40/84,474.30
  6. Step 6: Final answer
    x = 42,489.44

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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.