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Finding the Fourth Proportional to 59,455.78, 82,049.64 and 33,965.50

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Solution

The fourth proportional to 59,455.78, 82,049.64 and 33,965.50 is: 46,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,455.78 : 82,049.64 = 33,965.50 : x
  2. Step 2: Convert to fraction form
    59,455.78/82,049.64 = 33,965.50/x
  3. Step 3: Cross multiply
    59,455.78x = 82,049.64 × 33,965.50
  4. Step 4: Simplify right side
    59,455.78x = 2,786,857,047.42
  5. Step 5: Solve for x
    x = 2,786,857,047.42/59,455.78
  6. Step 6: Final answer
    x = 46,872.77

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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.