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Finding the Fourth Proportional to 42,367, 63,550.50 and 11,202.26

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Solution

The fourth proportional to 42,367, 63,550.50 and 11,202.26 is: 16,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,367 : 63,550.50 = 11,202.26 : x
  2. Step 2: Convert to fraction form
    42,367/63,550.50 = 11,202.26/x
  3. Step 3: Cross multiply
    42,367x = 63,550.50 × 11,202.26
  4. Step 4: Simplify right side
    42,367x = 711,909,224.13
  5. Step 5: Solve for x
    x = 711,909,224.13/42,367
  6. Step 6: Final answer
    x = 16,803.39

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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.