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Finding the Fourth Proportional to 111,165.77, 166,753.28 and 32,280

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Solution

The fourth proportional to 111,165.77, 166,753.28 and 32,280 is: 48,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,165.77 : 166,753.28 = 32,280 : x
  2. Step 2: Convert to fraction form
    111,165.77/166,753.28 = 32,280/x
  3. Step 3: Cross multiply
    111,165.77x = 166,753.28 × 32,280
  4. Step 4: Simplify right side
    111,165.77x = 5,382,795,878.40
  5. Step 5: Solve for x
    x = 5,382,795,878.40/111,165.77
  6. Step 6: Final answer
    x = 48,421.34

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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.