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Finding the Fourth Proportional to 49,920, 74,882.43 and 14,859.96

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Solution

The fourth proportional to 49,920, 74,882.43 and 14,859.96 is: 22,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,920 : 74,882.43 = 14,859.96 : x
  2. Step 2: Convert to fraction form
    49,920/74,882.43 = 14,859.96/x
  3. Step 3: Cross multiply
    49,920x = 74,882.43 × 14,859.96
  4. Step 4: Simplify right side
    49,920x = 1,112,749,914.50
  5. Step 5: Solve for x
    x = 1,112,749,914.50/49,920
  6. Step 6: Final answer
    x = 22,290.66

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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.