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Finding the Fourth Proportional to 41,020.31, 56,622.09 and 24,030

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Solution

The fourth proportional to 41,020.31, 56,622.09 and 24,030 is: 33,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,020.31 : 56,622.09 = 24,030 : x
  2. Step 2: Convert to fraction form
    41,020.31/56,622.09 = 24,030/x
  3. Step 3: Cross multiply
    41,020.31x = 56,622.09 × 24,030
  4. Step 4: Simplify right side
    41,020.31x = 1,360,628,822.70
  5. Step 5: Solve for x
    x = 1,360,628,822.70/41,020.31
  6. Step 6: Final answer
    x = 33,169.64

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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.