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Finding the Fourth Proportional to 39,546.65, 54,574.38 and 21,641.67

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Solution

The fourth proportional to 39,546.65, 54,574.38 and 21,641.67 is: 29,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546.65 : 54,574.38 = 21,641.67 : x
  2. Step 2: Convert to fraction form
    39,546.65/54,574.38 = 21,641.67/x
  3. Step 3: Cross multiply
    39,546.65x = 54,574.38 × 21,641.67
  4. Step 4: Simplify right side
    39,546.65x = 1,181,080,449.54
  5. Step 5: Solve for x
    x = 1,181,080,449.54/39,546.65
  6. Step 6: Final answer
    x = 29,865.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.