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Finding the Fourth Proportional to 49,212, 73,818 and 15,959.88

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Solution

The fourth proportional to 49,212, 73,818 and 15,959.88 is: 23,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,212 : 73,818 = 15,959.88 : x
  2. Step 2: Convert to fraction form
    49,212/73,818 = 15,959.88/x
  3. Step 3: Cross multiply
    49,212x = 73,818 × 15,959.88
  4. Step 4: Simplify right side
    49,212x = 1,178,126,421.84
  5. Step 5: Solve for x
    x = 1,178,126,421.84/49,212
  6. Step 6: Final answer
    x = 23,939.82

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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.