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Finding the Fourth Proportional to 41,748, 57,612.24 and 22,885.84

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Solution

The fourth proportional to 41,748, 57,612.24 and 22,885.84 is: 31,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,748 : 57,612.24 = 22,885.84 : x
  2. Step 2: Convert to fraction form
    41,748/57,612.24 = 22,885.84/x
  3. Step 3: Cross multiply
    41,748x = 57,612.24 × 22,885.84
  4. Step 4: Simplify right side
    41,748x = 1,318,504,506.68
  5. Step 5: Solve for x
    x = 1,318,504,506.68/41,748
  6. Step 6: Final answer
    x = 31,582.46

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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.