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Finding the Fourth Proportional to 52,624.95, 78,884.22 and 22,658.73

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Solution

The fourth proportional to 52,624.95, 78,884.22 and 22,658.73 is: 33,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,624.95 : 78,884.22 = 22,658.73 : x
  2. Step 2: Convert to fraction form
    52,624.95/78,884.22 = 22,658.73/x
  3. Step 3: Cross multiply
    52,624.95x = 78,884.22 × 22,658.73
  4. Step 4: Simplify right side
    52,624.95x = 1,787,415,903.94
  5. Step 5: Solve for x
    x = 1,787,415,903.94/52,624.95
  6. Step 6: Final answer
    x = 33,965.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.