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Finding the Fourth Proportional to 54,138.12, 74,724.14 and 43,340.82

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Solution

The fourth proportional to 54,138.12, 74,724.14 and 43,340.82 is: 59,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138.12 : 74,724.14 = 43,340.82 : x
  2. Step 2: Convert to fraction form
    54,138.12/74,724.14 = 43,340.82/x
  3. Step 3: Cross multiply
    54,138.12x = 74,724.14 × 43,340.82
  4. Step 4: Simplify right side
    54,138.12x = 3,238,605,501.39
  5. Step 5: Solve for x
    x = 3,238,605,501.39/54,138.12
  6. Step 6: Final answer
    x = 59,821.17

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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.