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Finding the Fourth Proportional to 42,564.50, 63,850.42 and 10,974.28

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Solution

The fourth proportional to 42,564.50, 63,850.42 and 10,974.28 is: 16,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564.50 : 63,850.42 = 10,974.28 : x
  2. Step 2: Convert to fraction form
    42,564.50/63,850.42 = 10,974.28/x
  3. Step 3: Cross multiply
    42,564.50x = 63,850.42 × 10,974.28
  4. Step 4: Simplify right side
    42,564.50x = 700,712,179.56
  5. Step 5: Solve for x
    x = 700,712,179.56/42,564.50
  6. Step 6: Final answer
    x = 16,462.36

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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.