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Finding the Fourth Proportional to 38,709.32, 53,419.67 and 21,942.32

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Solution

The fourth proportional to 38,709.32, 53,419.67 and 21,942.32 is: 30,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.32 : 53,419.67 = 21,942.32 : x
  2. Step 2: Convert to fraction form
    38,709.32/53,419.67 = 21,942.32/x
  3. Step 3: Cross multiply
    38,709.32x = 53,419.67 × 21,942.32
  4. Step 4: Simplify right side
    38,709.32x = 1,172,151,493.43
  5. Step 5: Solve for x
    x = 1,172,151,493.43/38,709.32
  6. Step 6: Final answer
    x = 30,280.86

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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.