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Finding the Fourth Proportional to 50,770.83, 76,168.42 and 15,710.49

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Solution

The fourth proportional to 50,770.83, 76,168.42 and 15,710.49 is: 23,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,770.83 : 76,168.42 = 15,710.49 : x
  2. Step 2: Convert to fraction form
    50,770.83/76,168.42 = 15,710.49/x
  3. Step 3: Cross multiply
    50,770.83x = 76,168.42 × 15,710.49
  4. Step 4: Simplify right side
    50,770.83x = 1,196,643,161.45
  5. Step 5: Solve for x
    x = 1,196,643,161.45/50,770.83
  6. Step 6: Final answer
    x = 23,569.50

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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.