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Finding the Fourth Proportional to 32,472.39, 48,764.16 and 20,066.02

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Solution

The fourth proportional to 32,472.39, 48,764.16 and 20,066.02 is: 30,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472.39 : 48,764.16 = 20,066.02 : x
  2. Step 2: Convert to fraction form
    32,472.39/48,764.16 = 20,066.02/x
  3. Step 3: Cross multiply
    32,472.39x = 48,764.16 × 20,066.02
  4. Step 4: Simplify right side
    32,472.39x = 978,502,609.84
  5. Step 5: Solve for x
    x = 978,502,609.84/32,472.39
  6. Step 6: Final answer
    x = 30,133.37

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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.