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Finding the Fourth Proportional to 59,921.46, 82,724.76 and 36,054

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Solution

The fourth proportional to 59,921.46, 82,724.76 and 36,054 is: 49,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,921.46 : 82,724.76 = 36,054 : x
  2. Step 2: Convert to fraction form
    59,921.46/82,724.76 = 36,054/x
  3. Step 3: Cross multiply
    59,921.46x = 82,724.76 × 36,054
  4. Step 4: Simplify right side
    59,921.46x = 2,982,558,497.04
  5. Step 5: Solve for x
    x = 2,982,558,497.04/59,921.46
  6. Step 6: Final answer
    x = 49,774.46

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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.