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Finding the Fourth Proportional to 32,865.48, 49,310.64 and 19,727.01

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Solution

The fourth proportional to 32,865.48, 49,310.64 and 19,727.01 is: 29,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.48 : 49,310.64 = 19,727.01 : x
  2. Step 2: Convert to fraction form
    32,865.48/49,310.64 = 19,727.01/x
  3. Step 3: Cross multiply
    32,865.48x = 49,310.64 × 19,727.01
  4. Step 4: Simplify right side
    32,865.48x = 972,751,488.39
  5. Step 5: Solve for x
    x = 972,751,488.39/32,865.48
  6. Step 6: Final answer
    x = 29,597.97

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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.