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Finding the Fourth Proportional to 34,306.90, 51,460.35 and 31,974.10

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Solution

The fourth proportional to 34,306.90, 51,460.35 and 31,974.10 is: 47,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,306.90 : 51,460.35 = 31,974.10 : x
  2. Step 2: Convert to fraction form
    34,306.90/51,460.35 = 31,974.10/x
  3. Step 3: Cross multiply
    34,306.90x = 51,460.35 × 31,974.10
  4. Step 4: Simplify right side
    34,306.90x = 1,645,398,376.94
  5. Step 5: Solve for x
    x = 1,645,398,376.94/34,306.90
  6. Step 6: Final answer
    x = 47,961.15

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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.