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Finding the Fourth Proportional to 60,018, 82,824.84 and 33,522

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Solution

The fourth proportional to 60,018, 82,824.84 and 33,522 is: 46,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,018 : 82,824.84 = 33,522 : x
  2. Step 2: Convert to fraction form
    60,018/82,824.84 = 33,522/x
  3. Step 3: Cross multiply
    60,018x = 82,824.84 × 33,522
  4. Step 4: Simplify right side
    60,018x = 2,776,454,286.48
  5. Step 5: Solve for x
    x = 2,776,454,286.48/60,018
  6. Step 6: Final answer
    x = 46,260.36

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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.