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Finding the Fourth Proportional to 32,646, 45,065.24 and 22,049.98

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Solution

The fourth proportional to 32,646, 45,065.24 and 22,049.98 is: 30,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646 : 45,065.24 = 22,049.98 : x
  2. Step 2: Convert to fraction form
    32,646/45,065.24 = 22,049.98/x
  3. Step 3: Cross multiply
    32,646x = 45,065.24 × 22,049.98
  4. Step 4: Simplify right side
    32,646x = 993,687,640.70
  5. Step 5: Solve for x
    x = 993,687,640.70/32,646
  6. Step 6: Final answer
    x = 30,438.27

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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.