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Finding the Fourth Proportional to 42,832.76, 59,135.12 and 27,954.68

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Solution

The fourth proportional to 42,832.76, 59,135.12 and 27,954.68 is: 38,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,832.76 : 59,135.12 = 27,954.68 : x
  2. Step 2: Convert to fraction form
    42,832.76/59,135.12 = 27,954.68/x
  3. Step 3: Cross multiply
    42,832.76x = 59,135.12 × 27,954.68
  4. Step 4: Simplify right side
    42,832.76x = 1,653,103,356.36
  5. Step 5: Solve for x
    x = 1,653,103,356.36/42,832.76
  6. Step 6: Final answer
    x = 38,594.37

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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.