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Finding the Fourth Proportional to 32,947.82, 49,386.88 and 10,755.24

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Solution

The fourth proportional to 32,947.82, 49,386.88 and 10,755.24 is: 16,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.82 : 49,386.88 = 10,755.24 : x
  2. Step 2: Convert to fraction form
    32,947.82/49,386.88 = 10,755.24/x
  3. Step 3: Cross multiply
    32,947.82x = 49,386.88 × 10,755.24
  4. Step 4: Simplify right side
    32,947.82x = 531,167,720.36
  5. Step 5: Solve for x
    x = 531,167,720.36/32,947.82
  6. Step 6: Final answer
    x = 16,121.48

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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.