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Finding the Fourth Proportional to 33,275, 49,920.72 and 9,901.36

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Solution

The fourth proportional to 33,275, 49,920.72 and 9,901.36 is: 14,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,275 : 49,920.72 = 9,901.36 : x
  2. Step 2: Convert to fraction form
    33,275/49,920.72 = 9,901.36/x
  3. Step 3: Cross multiply
    33,275x = 49,920.72 × 9,901.36
  4. Step 4: Simplify right side
    33,275x = 494,283,020.18
  5. Step 5: Solve for x
    x = 494,283,020.18/33,275
  6. Step 6: Final answer
    x = 14,854.49

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1.5x scale

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.