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Finding the Fourth Proportional to 68,390.94, 102,605.22 and 24,011.82

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Solution

The fourth proportional to 68,390.94, 102,605.22 and 24,011.82 is: 36,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,390.94 : 102,605.22 = 24,011.82 : x
  2. Step 2: Convert to fraction form
    68,390.94/102,605.22 = 24,011.82/x
  3. Step 3: Cross multiply
    68,390.94x = 102,605.22 × 24,011.82
  4. Step 4: Simplify right side
    68,390.94x = 2,463,738,073.70
  5. Step 5: Solve for x
    x = 2,463,738,073.70/68,390.94
  6. Step 6: Final answer
    x = 36,024.33

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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.