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Finding the Fourth Proportional to 50,706.66, 76,070.13 and 15,645

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Solution

The fourth proportional to 50,706.66, 76,070.13 and 15,645 is: 23,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,706.66 : 76,070.13 = 15,645 : x
  2. Step 2: Convert to fraction form
    50,706.66/76,070.13 = 15,645/x
  3. Step 3: Cross multiply
    50,706.66x = 76,070.13 × 15,645
  4. Step 4: Simplify right side
    50,706.66x = 1,190,117,183.85
  5. Step 5: Solve for x
    x = 1,190,117,183.85/50,706.66
  6. Step 6: Final answer
    x = 23,470.63

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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.