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Finding the Fourth Proportional to 71,362.30, 106,970.55 and 41,764.90

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Solution

The fourth proportional to 71,362.30, 106,970.55 and 41,764.90 is: 62,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,362.30 : 106,970.55 = 41,764.90 : x
  2. Step 2: Convert to fraction form
    71,362.30/106,970.55 = 41,764.90/x
  3. Step 3: Cross multiply
    71,362.30x = 106,970.55 × 41,764.90
  4. Step 4: Simplify right side
    71,362.30x = 4,467,614,323.70
  5. Step 5: Solve for x
    x = 4,467,614,323.70/71,362.30
  6. Step 6: Final answer
    x = 62,604.69

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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.