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Finding the Fourth Proportional to 65,340.98, 90,221.34 and 50,209.80

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Solution

The fourth proportional to 65,340.98, 90,221.34 and 50,209.80 is: 69,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340.98 : 90,221.34 = 50,209.80 : x
  2. Step 2: Convert to fraction form
    65,340.98/90,221.34 = 50,209.80/x
  3. Step 3: Cross multiply
    65,340.98x = 90,221.34 × 50,209.80
  4. Step 4: Simplify right side
    65,340.98x = 4,529,995,437.13
  5. Step 5: Solve for x
    x = 4,529,995,437.13/65,340.98
  6. Step 6: Final answer
    x = 69,328.55

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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.