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Finding the Fourth Proportional to 32,169.61, 48,217.11 and 19,033.03

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Solution

The fourth proportional to 32,169.61, 48,217.11 and 19,033.03 is: 28,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.61 : 48,217.11 = 19,033.03 : x
  2. Step 2: Convert to fraction form
    32,169.61/48,217.11 = 19,033.03/x
  3. Step 3: Cross multiply
    32,169.61x = 48,217.11 × 19,033.03
  4. Step 4: Simplify right side
    32,169.61x = 917,717,701.14
  5. Step 5: Solve for x
    x = 917,717,701.14/32,169.61
  6. Step 6: Final answer
    x = 28,527.47

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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.