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Finding the Fourth Proportional to 41,594, 62,428.44 and 28,234.64

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Solution

The fourth proportional to 41,594, 62,428.44 and 28,234.64 is: 42,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,594 : 62,428.44 = 28,234.64 : x
  2. Step 2: Convert to fraction form
    41,594/62,428.44 = 28,234.64/x
  3. Step 3: Cross multiply
    41,594x = 62,428.44 × 28,234.64
  4. Step 4: Simplify right side
    41,594x = 1,762,644,529.16
  5. Step 5: Solve for x
    x = 1,762,644,529.16/41,594
  6. Step 6: Final answer
    x = 42,377.37

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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.