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Finding the Fourth Proportional to 110,958.54, 166,465.80 and 32,072.28

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Solution

The fourth proportional to 110,958.54, 166,465.80 and 32,072.28 is: 48,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,958.54 : 166,465.80 = 32,072.28 : x
  2. Step 2: Convert to fraction form
    110,958.54/166,465.80 = 32,072.28/x
  3. Step 3: Cross multiply
    110,958.54x = 166,465.80 × 32,072.28
  4. Step 4: Simplify right side
    110,958.54x = 5,338,937,748.02
  5. Step 5: Solve for x
    x = 5,338,937,748.02/110,958.54
  6. Step 6: Final answer
    x = 48,116.51

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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.