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Finding the Fourth Proportional to 82,658.82, 114,069.33 and 44,932.98

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Solution

The fourth proportional to 82,658.82, 114,069.33 and 44,932.98 is: 62,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,658.82 : 114,069.33 = 44,932.98 : x
  2. Step 2: Convert to fraction form
    82,658.82/114,069.33 = 44,932.98/x
  3. Step 3: Cross multiply
    82,658.82x = 114,069.33 × 44,932.98
  4. Step 4: Simplify right side
    82,658.82x = 5,125,474,923.50
  5. Step 5: Solve for x
    x = 5,125,474,923.50/82,658.82
  6. Step 6: Final answer
    x = 62,007.60

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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.