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Finding the Fourth Proportional to 31,059.40, 46,524.30 and 23,257.48

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Solution

The fourth proportional to 31,059.40, 46,524.30 and 23,257.48 is: 34,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.40 : 46,524.30 = 23,257.48 : x
  2. Step 2: Convert to fraction form
    31,059.40/46,524.30 = 23,257.48/x
  3. Step 3: Cross multiply
    31,059.40x = 46,524.30 × 23,257.48
  4. Step 4: Simplify right side
    31,059.40x = 1,082,037,976.76
  5. Step 5: Solve for x
    x = 1,082,037,976.76/31,059.40
  6. Step 6: Final answer
    x = 34,837.70

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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.