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Finding the Fourth Proportional to 49,220.97, 73,838.70 and 15,929.97

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Solution

The fourth proportional to 49,220.97, 73,838.70 and 15,929.97 is: 23,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,220.97 : 73,838.70 = 15,929.97 : x
  2. Step 2: Convert to fraction form
    49,220.97/73,838.70 = 15,929.97/x
  3. Step 3: Cross multiply
    49,220.97x = 73,838.70 × 15,929.97
  4. Step 4: Simplify right side
    49,220.97x = 1,176,248,275.84
  5. Step 5: Solve for x
    x = 1,176,248,275.84/49,220.97
  6. Step 6: Final answer
    x = 23,897.30

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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.