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Finding the Fourth Proportional to 49,956.84, 74,947.56 and 16,680.48

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Solution

The fourth proportional to 49,956.84, 74,947.56 and 16,680.48 is: 25,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,956.84 : 74,947.56 = 16,680.48 : x
  2. Step 2: Convert to fraction form
    49,956.84/74,947.56 = 16,680.48/x
  3. Step 3: Cross multiply
    49,956.84x = 74,947.56 × 16,680.48
  4. Step 4: Simplify right side
    49,956.84x = 1,250,161,275.63
  5. Step 5: Solve for x
    x = 1,250,161,275.63/49,956.84
  6. Step 6: Final answer
    x = 25,024.83

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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.