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Finding the Fourth Proportional to 42,168.78, 58,192.56 and 23,305.50

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Solution

The fourth proportional to 42,168.78, 58,192.56 and 23,305.50 is: 32,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,168.78 : 58,192.56 = 23,305.50 : x
  2. Step 2: Convert to fraction form
    42,168.78/58,192.56 = 23,305.50/x
  3. Step 3: Cross multiply
    42,168.78x = 58,192.56 × 23,305.50
  4. Step 4: Simplify right side
    42,168.78x = 1,356,206,707.08
  5. Step 5: Solve for x
    x = 1,356,206,707.08/42,168.78
  6. Step 6: Final answer
    x = 32,161.39

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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.