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Finding the Fourth Proportional to 95,212.46, 142,838.67 and 28,657.46

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Solution

The fourth proportional to 95,212.46, 142,838.67 and 28,657.46 is: 42,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,212.46 : 142,838.67 = 28,657.46 : x
  2. Step 2: Convert to fraction form
    95,212.46/142,838.67 = 28,657.46/x
  3. Step 3: Cross multiply
    95,212.46x = 142,838.67 × 28,657.46
  4. Step 4: Simplify right side
    95,212.46x = 4,093,393,471.98
  5. Step 5: Solve for x
    x = 4,093,393,471.98/95,212.46
  6. Step 6: Final answer
    x = 42,992.20

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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.