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Finding the Fourth Proportional to 48,502.56, 72,764.64 and 18,922.08

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Solution

The fourth proportional to 48,502.56, 72,764.64 and 18,922.08 is: 28,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502.56 : 72,764.64 = 18,922.08 : x
  2. Step 2: Convert to fraction form
    48,502.56/72,764.64 = 18,922.08/x
  3. Step 3: Cross multiply
    48,502.56x = 72,764.64 × 18,922.08
  4. Step 4: Simplify right side
    48,502.56x = 1,376,858,339.25
  5. Step 5: Solve for x
    x = 1,376,858,339.25/48,502.56
  6. Step 6: Final answer
    x = 28,387.33

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Why These Related Problems?

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