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Finding the Fourth Proportional to 77,658.32, 116,504.76 and 22,250

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Solution

The fourth proportional to 77,658.32, 116,504.76 and 22,250 is: 33,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.32 : 116,504.76 = 22,250 : x
  2. Step 2: Convert to fraction form
    77,658.32/116,504.76 = 22,250/x
  3. Step 3: Cross multiply
    77,658.32x = 116,504.76 × 22,250
  4. Step 4: Simplify right side
    77,658.32x = 2,592,230,910
  5. Step 5: Solve for x
    x = 2,592,230,910/77,658.32
  6. Step 6: Final answer
    x = 33,379.95

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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.