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Finding the Fourth Proportional to 32,729.82, 45,203.94 and 22,101

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Solution

The fourth proportional to 32,729.82, 45,203.94 and 22,101 is: 30,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.82 : 45,203.94 = 22,101 : x
  2. Step 2: Convert to fraction form
    32,729.82/45,203.94 = 22,101/x
  3. Step 3: Cross multiply
    32,729.82x = 45,203.94 × 22,101
  4. Step 4: Simplify right side
    32,729.82x = 999,052,277.94
  5. Step 5: Solve for x
    x = 999,052,277.94/32,729.82
  6. Step 6: Final answer
    x = 30,524.22

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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.