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Finding the Fourth Proportional to 41,765.84, 57,637.68 and 22,904

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Solution

The fourth proportional to 41,765.84, 57,637.68 and 22,904 is: 31,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,765.84 : 57,637.68 = 22,904 : x
  2. Step 2: Convert to fraction form
    41,765.84/57,637.68 = 22,904/x
  3. Step 3: Cross multiply
    41,765.84x = 57,637.68 × 22,904
  4. Step 4: Simplify right side
    41,765.84x = 1,320,133,422.72
  5. Step 5: Solve for x
    x = 1,320,133,422.72/41,765.84
  6. Step 6: Final answer
    x = 31,607.97

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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.