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Finding the Fourth Proportional to 28,227.92, 42,331.11 and 9,502.93

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Solution

The fourth proportional to 28,227.92, 42,331.11 and 9,502.93 is: 14,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,227.92 : 42,331.11 = 9,502.93 : x
  2. Step 2: Convert to fraction form
    28,227.92/42,331.11 = 9,502.93/x
  3. Step 3: Cross multiply
    28,227.92x = 42,331.11 × 9,502.93
  4. Step 4: Simplify right side
    28,227.92x = 402,269,651.96
  5. Step 5: Solve for x
    x = 402,269,651.96/28,227.92
  6. Step 6: Final answer
    x = 14,250.77

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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.