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Finding the Fourth Proportional to 32,214.38, 44,475.28 and 21,055.82

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Solution

The fourth proportional to 32,214.38, 44,475.28 and 21,055.82 is: 29,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.38 : 44,475.28 = 21,055.82 : x
  2. Step 2: Convert to fraction form
    32,214.38/44,475.28 = 21,055.82/x
  3. Step 3: Cross multiply
    32,214.38x = 44,475.28 × 21,055.82
  4. Step 4: Simplify right side
    32,214.38x = 936,463,215.11
  5. Step 5: Solve for x
    x = 936,463,215.11/32,214.38
  6. Step 6: Final answer
    x = 29,069.73

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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.