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Finding the Fourth Proportional to 189,061.92, 283,592.64 and 48,819.84

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Solution

The fourth proportional to 189,061.92, 283,592.64 and 48,819.84 is: 73,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,061.92 : 283,592.64 = 48,819.84 : x
  2. Step 2: Convert to fraction form
    189,061.92/283,592.64 = 48,819.84/x
  3. Step 3: Cross multiply
    189,061.92x = 283,592.64 × 48,819.84
  4. Step 4: Simplify right side
    189,061.92x = 13,844,947,309.98
  5. Step 5: Solve for x
    x = 13,844,947,309.98/189,061.92
  6. Step 6: Final answer
    x = 73,229.70

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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.