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Finding the Fourth Proportional to 111,415.16, 167,106.30 and 32,508.20

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Solution

The fourth proportional to 111,415.16, 167,106.30 and 32,508.20 is: 48,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,415.16 : 167,106.30 = 32,508.20 : x
  2. Step 2: Convert to fraction form
    111,415.16/167,106.30 = 32,508.20/x
  3. Step 3: Cross multiply
    111,415.16x = 167,106.30 × 32,508.20
  4. Step 4: Simplify right side
    111,415.16x = 5,432,325,021.66
  5. Step 5: Solve for x
    x = 5,432,325,021.66/111,415.16
  6. Step 6: Final answer
    x = 48,757.50

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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.