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Finding the Fourth Proportional to 41,145.72, 56,781 and 22,282.80

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Solution

The fourth proportional to 41,145.72, 56,781 and 22,282.80 is: 30,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,145.72 : 56,781 = 22,282.80 : x
  2. Step 2: Convert to fraction form
    41,145.72/56,781 = 22,282.80/x
  3. Step 3: Cross multiply
    41,145.72x = 56,781 × 22,282.80
  4. Step 4: Simplify right side
    41,145.72x = 1,265,239,666.80
  5. Step 5: Solve for x
    x = 1,265,239,666.80/41,145.72
  6. Step 6: Final answer
    x = 30,750.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.