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Finding the Fourth Proportional to 111,548.14, 167,309.96 and 32,663.14

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Solution

The fourth proportional to 111,548.14, 167,309.96 and 32,663.14 is: 48,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,548.14 : 167,309.96 = 32,663.14 : x
  2. Step 2: Convert to fraction form
    111,548.14/167,309.96 = 32,663.14/x
  3. Step 3: Cross multiply
    111,548.14x = 167,309.96 × 32,663.14
  4. Step 4: Simplify right side
    111,548.14x = 5,464,868,646.87
  5. Step 5: Solve for x
    x = 5,464,868,646.87/111,548.14
  6. Step 6: Final answer
    x = 48,991.12

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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.