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Finding the Fourth Proportional to 48,198.24, 72,282.78 and 28,471.50

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Solution

The fourth proportional to 48,198.24, 72,282.78 and 28,471.50 is: 42,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198.24 : 72,282.78 = 28,471.50 : x
  2. Step 2: Convert to fraction form
    48,198.24/72,282.78 = 28,471.50/x
  3. Step 3: Cross multiply
    48,198.24x = 72,282.78 × 28,471.50
  4. Step 4: Simplify right side
    48,198.24x = 2,057,999,170.77
  5. Step 5: Solve for x
    x = 2,057,999,170.77/48,198.24
  6. Step 6: Final answer
    x = 42,698.64

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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.