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Finding the Fourth Proportional to 29,023.85, 43,535.84 and 7,964.18

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Solution

The fourth proportional to 29,023.85, 43,535.84 and 7,964.18 is: 11,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,023.85 : 43,535.84 = 7,964.18 : x
  2. Step 2: Convert to fraction form
    29,023.85/43,535.84 = 7,964.18/x
  3. Step 3: Cross multiply
    29,023.85x = 43,535.84 × 7,964.18
  4. Step 4: Simplify right side
    29,023.85x = 346,727,266.21
  5. Step 5: Solve for x
    x = 346,727,266.21/29,023.85
  6. Step 6: Final answer
    x = 11,946.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.