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Finding the Fourth Proportional to 35,815.22, 53,722.78 and 9,519.97

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Solution

The fourth proportional to 35,815.22, 53,722.78 and 9,519.97 is: 14,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,815.22 : 53,722.78 = 9,519.97 : x
  2. Step 2: Convert to fraction form
    35,815.22/53,722.78 = 9,519.97/x
  3. Step 3: Cross multiply
    35,815.22x = 53,722.78 × 9,519.97
  4. Step 4: Simplify right side
    35,815.22x = 511,438,937.70
  5. Step 5: Solve for x
    x = 511,438,937.70/35,815.22
  6. Step 6: Final answer
    x = 14,279.93

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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.