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Finding the Fourth Proportional to 106,108.80, 159,117.12 and 32,219.52

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Solution

The fourth proportional to 106,108.80, 159,117.12 and 32,219.52 is: 48,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,108.80 : 159,117.12 = 32,219.52 : x
  2. Step 2: Convert to fraction form
    106,108.80/159,117.12 = 32,219.52/x
  3. Step 3: Cross multiply
    106,108.80x = 159,117.12 × 32,219.52
  4. Step 4: Simplify right side
    106,108.80x = 5,126,677,230.18
  5. Step 5: Solve for x
    x = 5,126,677,230.18/106,108.80
  6. Step 6: Final answer
    x = 48,315.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.