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Finding the Fourth Proportional to 31,049.57, 46,431.29 and 23,059.43

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Solution

The fourth proportional to 31,049.57, 46,431.29 and 23,059.43 is: 34,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.57 : 46,431.29 = 23,059.43 : x
  2. Step 2: Convert to fraction form
    31,049.57/46,431.29 = 23,059.43/x
  3. Step 3: Cross multiply
    31,049.57x = 46,431.29 × 23,059.43
  4. Step 4: Simplify right side
    31,049.57x = 1,070,679,081.17
  5. Step 5: Solve for x
    x = 1,070,679,081.17/31,049.57
  6. Step 6: Final answer
    x = 34,482.89

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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.