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Finding the Fourth Proportional to 42,646.50, 63,969.75 and 11,481.75

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Solution

The fourth proportional to 42,646.50, 63,969.75 and 11,481.75 is: 17,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,646.50 : 63,969.75 = 11,481.75 : x
  2. Step 2: Convert to fraction form
    42,646.50/63,969.75 = 11,481.75/x
  3. Step 3: Cross multiply
    42,646.50x = 63,969.75 × 11,481.75
  4. Step 4: Simplify right side
    42,646.50x = 734,484,677.06
  5. Step 5: Solve for x
    x = 734,484,677.06/42,646.50
  6. Step 6: Final answer
    x = 17,222.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.