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Finding the Fourth Proportional to 33,011.80, 49,520.62 and 9,319.50

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Solution

The fourth proportional to 33,011.80, 49,520.62 and 9,319.50 is: 13,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011.80 : 49,520.62 = 9,319.50 : x
  2. Step 2: Convert to fraction form
    33,011.80/49,520.62 = 9,319.50/x
  3. Step 3: Cross multiply
    33,011.80x = 49,520.62 × 9,319.50
  4. Step 4: Simplify right side
    33,011.80x = 461,507,418.09
  5. Step 5: Solve for x
    x = 461,507,418.09/33,011.80
  6. Step 6: Final answer
    x = 13,980.07

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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.