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Finding the Fourth Proportional to 45,843.67, 68,766.11 and 14,678.92

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Solution

The fourth proportional to 45,843.67, 68,766.11 and 14,678.92 is: 22,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,843.67 : 68,766.11 = 14,678.92 : x
  2. Step 2: Convert to fraction form
    45,843.67/68,766.11 = 14,678.92/x
  3. Step 3: Cross multiply
    45,843.67x = 68,766.11 × 14,678.92
  4. Step 4: Simplify right side
    45,843.67x = 1,009,411,810.18
  5. Step 5: Solve for x
    x = 1,009,411,810.18/45,843.67
  6. Step 6: Final answer
    x = 22,018.57

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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.