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Finding the Fourth Proportional to 54,846.56, 82,282.80 and 28,545.32

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Solution

The fourth proportional to 54,846.56, 82,282.80 and 28,545.32 is: 42,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,846.56 : 82,282.80 = 28,545.32 : x
  2. Step 2: Convert to fraction form
    54,846.56/82,282.80 = 28,545.32/x
  3. Step 3: Cross multiply
    54,846.56x = 82,282.80 × 28,545.32
  4. Step 4: Simplify right side
    54,846.56x = 2,348,788,856.50
  5. Step 5: Solve for x
    x = 2,348,788,856.50/54,846.56
  6. Step 6: Final answer
    x = 42,824.73

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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.