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Finding the Fourth Proportional to 44,638.20, 61,597.94 and 24,491

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Solution

The fourth proportional to 44,638.20, 61,597.94 and 24,491 is: 33,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,638.20 : 61,597.94 = 24,491 : x
  2. Step 2: Convert to fraction form
    44,638.20/61,597.94 = 24,491/x
  3. Step 3: Cross multiply
    44,638.20x = 61,597.94 × 24,491
  4. Step 4: Simplify right side
    44,638.20x = 1,508,595,148.54
  5. Step 5: Solve for x
    x = 1,508,595,148.54/44,638.20
  6. Step 6: Final answer
    x = 33,796.06

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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.