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Finding the Fourth Proportional to 77,437.35, 116,142.19 and 20,511.66

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Solution

The fourth proportional to 77,437.35, 116,142.19 and 20,511.66 is: 30,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,437.35 : 116,142.19 = 20,511.66 : x
  2. Step 2: Convert to fraction form
    77,437.35/116,142.19 = 20,511.66/x
  3. Step 3: Cross multiply
    77,437.35x = 116,142.19 × 20,511.66
  4. Step 4: Simplify right side
    77,437.35x = 2,382,269,497.19
  5. Step 5: Solve for x
    x = 2,382,269,497.19/77,437.35
  6. Step 6: Final answer
    x = 30,763.83

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