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Finding the Fourth Proportional to 32,697.62, 45,136.28 and 22,101.61

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Solution

The fourth proportional to 32,697.62, 45,136.28 and 22,101.61 is: 30,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.62 : 45,136.28 = 22,101.61 : x
  2. Step 2: Convert to fraction form
    32,697.62/45,136.28 = 22,101.61/x
  3. Step 3: Cross multiply
    32,697.62x = 45,136.28 × 22,101.61
  4. Step 4: Simplify right side
    32,697.62x = 997,584,457.41
  5. Step 5: Solve for x
    x = 997,584,457.41/32,697.62
  6. Step 6: Final answer
    x = 30,509.39

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Why These Related Problems?

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