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Finding the Fourth Proportional to 73,857.38, 101,923.58 and 40,323.38

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Solution

The fourth proportional to 73,857.38, 101,923.58 and 40,323.38 is: 55,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857.38 : 101,923.58 = 40,323.38 : x
  2. Step 2: Convert to fraction form
    73,857.38/101,923.58 = 40,323.38/x
  3. Step 3: Cross multiply
    73,857.38x = 101,923.58 × 40,323.38
  4. Step 4: Simplify right side
    73,857.38x = 4,109,902,838.49
  5. Step 5: Solve for x
    x = 4,109,902,838.49/73,857.38
  6. Step 6: Final answer
    x = 55,646.48

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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.