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Finding the Fourth Proportional to 32,699.32, 45,138.78 and 22,103.31

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Solution

The fourth proportional to 32,699.32, 45,138.78 and 22,103.31 is: 30,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699.32 : 45,138.78 = 22,103.31 : x
  2. Step 2: Convert to fraction form
    32,699.32/45,138.78 = 22,103.31/x
  3. Step 3: Cross multiply
    32,699.32x = 45,138.78 × 22,103.31
  4. Step 4: Simplify right side
    32,699.32x = 997,716,300.56
  5. Step 5: Solve for x
    x = 997,716,300.56/32,699.32
  6. Step 6: Final answer
    x = 30,511.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.