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Finding the Fourth Proportional to 38,791.92, 53,538.94 and 22,878.12

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Solution

The fourth proportional to 38,791.92, 53,538.94 and 22,878.12 is: 31,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791.92 : 53,538.94 = 22,878.12 : x
  2. Step 2: Convert to fraction form
    38,791.92/53,538.94 = 22,878.12/x
  3. Step 3: Cross multiply
    38,791.92x = 53,538.94 × 22,878.12
  4. Step 4: Simplify right side
    38,791.92x = 1,224,870,293.99
  5. Step 5: Solve for x
    x = 1,224,870,293.99/38,791.92
  6. Step 6: Final answer
    x = 31,575.40

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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.