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Finding the Fourth Proportional to 71,666.22, 107,357.40 and 49,121.40

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Solution

The fourth proportional to 71,666.22, 107,357.40 and 49,121.40 is: 73,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,666.22 : 107,357.40 = 49,121.40 : x
  2. Step 2: Convert to fraction form
    71,666.22/107,357.40 = 49,121.40/x
  3. Step 3: Cross multiply
    71,666.22x = 107,357.40 × 49,121.40
  4. Step 4: Simplify right side
    71,666.22x = 5,273,545,788.36
  5. Step 5: Solve for x
    x = 5,273,545,788.36/71,666.22
  6. Step 6: Final answer
    x = 73,584.82

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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.