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Finding the Fourth Proportional to 42,147.33, 63,229.19 and 12,564.51

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Solution

The fourth proportional to 42,147.33, 63,229.19 and 12,564.51 is: 18,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147.33 : 63,229.19 = 12,564.51 : x
  2. Step 2: Convert to fraction form
    42,147.33/63,229.19 = 12,564.51/x
  3. Step 3: Cross multiply
    42,147.33x = 63,229.19 × 12,564.51
  4. Step 4: Simplify right side
    42,147.33x = 794,443,790.05
  5. Step 5: Solve for x
    x = 794,443,790.05/42,147.33
  6. Step 6: Final answer
    x = 18,849.21

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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.