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Finding the Fourth Proportional to 36,013.34, 49,698.47 and 20,097.79

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Solution

The fourth proportional to 36,013.34, 49,698.47 and 20,097.79 is: 27,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,013.34 : 49,698.47 = 20,097.79 : x
  2. Step 2: Convert to fraction form
    36,013.34/49,698.47 = 20,097.79/x
  3. Step 3: Cross multiply
    36,013.34x = 49,698.47 × 20,097.79
  4. Step 4: Simplify right side
    36,013.34x = 998,829,339.38
  5. Step 5: Solve for x
    x = 998,829,339.38/36,013.34
  6. Step 6: Final answer
    x = 27,734.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.