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Finding the Fourth Proportional to 33,417, 50,125.50 and 10,043.46

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Solution

The fourth proportional to 33,417, 50,125.50 and 10,043.46 is: 15,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,417 : 50,125.50 = 10,043.46 : x
  2. Step 2: Convert to fraction form
    33,417/50,125.50 = 10,043.46/x
  3. Step 3: Cross multiply
    33,417x = 50,125.50 × 10,043.46
  4. Step 4: Simplify right side
    33,417x = 503,433,454.23
  5. Step 5: Solve for x
    x = 503,433,454.23/33,417
  6. Step 6: Final answer
    x = 15,065.19

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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.