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Finding the Fourth Proportional to 35,882.28, 53,721 and 28,497.24

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Solution

The fourth proportional to 35,882.28, 53,721 and 28,497.24 is: 42,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.28 : 53,721 = 28,497.24 : x
  2. Step 2: Convert to fraction form
    35,882.28/53,721 = 28,497.24/x
  3. Step 3: Cross multiply
    35,882.28x = 53,721 × 28,497.24
  4. Step 4: Simplify right side
    35,882.28x = 1,530,900,230.04
  5. Step 5: Solve for x
    x = 1,530,900,230.04/35,882.28
  6. Step 6: Final answer
    x = 42,664.52

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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.