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Finding the Fourth Proportional to 33,119.74, 49,655.31 and 15,580

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Solution

The fourth proportional to 33,119.74, 49,655.31 and 15,580 is: 23,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,119.74 : 49,655.31 = 15,580 : x
  2. Step 2: Convert to fraction form
    33,119.74/49,655.31 = 15,580/x
  3. Step 3: Cross multiply
    33,119.74x = 49,655.31 × 15,580
  4. Step 4: Simplify right side
    33,119.74x = 773,629,729.80
  5. Step 5: Solve for x
    x = 773,629,729.80/33,119.74
  6. Step 6: Final answer
    x = 23,358.57

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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.