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Finding the Fourth Proportional to 77,489.82, 116,254.23 and 22,085.82

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Solution

The fourth proportional to 77,489.82, 116,254.23 and 22,085.82 is: 33,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,489.82 : 116,254.23 = 22,085.82 : x
  2. Step 2: Convert to fraction form
    77,489.82/116,254.23 = 22,085.82/x
  3. Step 3: Cross multiply
    77,489.82x = 116,254.23 × 22,085.82
  4. Step 4: Simplify right side
    77,489.82x = 2,567,569,998.02
  5. Step 5: Solve for x
    x = 2,567,569,998.02/77,489.82
  6. Step 6: Final answer
    x = 33,134.29

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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.