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Finding the Fourth Proportional to 44,905.40, 61,964.64 and 24,761

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Solution

The fourth proportional to 44,905.40, 61,964.64 and 24,761 is: 34,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,905.40 : 61,964.64 = 24,761 : x
  2. Step 2: Convert to fraction form
    44,905.40/61,964.64 = 24,761/x
  3. Step 3: Cross multiply
    44,905.40x = 61,964.64 × 24,761
  4. Step 4: Simplify right side
    44,905.40x = 1,534,306,451.04
  5. Step 5: Solve for x
    x = 1,534,306,451.04/44,905.40
  6. Step 6: Final answer
    x = 34,167.53

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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.