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Finding the Fourth Proportional to 76,118.67, 114,194.88 and 22,808.52

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Solution

The fourth proportional to 76,118.67, 114,194.88 and 22,808.52 is: 34,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,118.67 : 114,194.88 = 22,808.52 : x
  2. Step 2: Convert to fraction form
    76,118.67/114,194.88 = 22,808.52/x
  3. Step 3: Cross multiply
    76,118.67x = 114,194.88 × 22,808.52
  4. Step 4: Simplify right side
    76,118.67x = 2,604,616,204.38
  5. Step 5: Solve for x
    x = 2,604,616,204.38/76,118.67
  6. Step 6: Final answer
    x = 34,217.84

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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.