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Finding the Fourth Proportional to 41,847.84, 57,750.84 and 22,986

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Solution

The fourth proportional to 41,847.84, 57,750.84 and 22,986 is: 31,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,847.84 : 57,750.84 = 22,986 : x
  2. Step 2: Convert to fraction form
    41,847.84/57,750.84 = 22,986/x
  3. Step 3: Cross multiply
    41,847.84x = 57,750.84 × 22,986
  4. Step 4: Simplify right side
    41,847.84x = 1,327,460,808.24
  5. Step 5: Solve for x
    x = 1,327,460,808.24/41,847.84
  6. Step 6: Final answer
    x = 31,721.13

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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.