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Finding the Fourth Proportional to 51,890.24, 71,612.16 and 29,534.24

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Solution

The fourth proportional to 51,890.24, 71,612.16 and 29,534.24 is: 40,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890.24 : 71,612.16 = 29,534.24 : x
  2. Step 2: Convert to fraction form
    51,890.24/71,612.16 = 29,534.24/x
  3. Step 3: Cross multiply
    51,890.24x = 71,612.16 × 29,534.24
  4. Step 4: Simplify right side
    51,890.24x = 2,115,010,720.36
  5. Step 5: Solve for x
    x = 2,115,010,720.36/51,890.24
  6. Step 6: Final answer
    x = 40,759.32

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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.