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Finding the Fourth Proportional to 35,471.34, 53,223.30 and 13,286.52

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Solution

The fourth proportional to 35,471.34, 53,223.30 and 13,286.52 is: 19,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,471.34 : 53,223.30 = 13,286.52 : x
  2. Step 2: Convert to fraction form
    35,471.34/53,223.30 = 13,286.52/x
  3. Step 3: Cross multiply
    35,471.34x = 53,223.30 × 13,286.52
  4. Step 4: Simplify right side
    35,471.34x = 707,152,439.92
  5. Step 5: Solve for x
    x = 707,152,439.92/35,471.34
  6. Step 6: Final answer
    x = 19,935.88

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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.