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Finding the Fourth Proportional to 45,843.74, 68,766.57 and 14,678.90

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Solution

The fourth proportional to 45,843.74, 68,766.57 and 14,678.90 is: 22,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,843.74 : 68,766.57 = 14,678.90 : x
  2. Step 2: Convert to fraction form
    45,843.74/68,766.57 = 14,678.90/x
  3. Step 3: Cross multiply
    45,843.74x = 68,766.57 × 14,678.90
  4. Step 4: Simplify right side
    45,843.74x = 1,009,417,604.37
  5. Step 5: Solve for x
    x = 1,009,417,604.37/45,843.74
  6. Step 6: Final answer
    x = 22,018.66

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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.