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Finding the Fourth Proportional to 76,098, 114,198.84 and 26,850

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Solution

The fourth proportional to 76,098, 114,198.84 and 26,850 is: 40,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,098 : 114,198.84 = 26,850 : x
  2. Step 2: Convert to fraction form
    76,098/114,198.84 = 26,850/x
  3. Step 3: Cross multiply
    76,098x = 114,198.84 × 26,850
  4. Step 4: Simplify right side
    76,098x = 3,066,238,854
  5. Step 5: Solve for x
    x = 3,066,238,854/76,098
  6. Step 6: Final answer
    x = 40,293.29

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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.