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Finding the Fourth Proportional to 31,304.70, 46,956.60 and 7,612.17

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Solution

The fourth proportional to 31,304.70, 46,956.60 and 7,612.17 is: 11,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.70 : 46,956.60 = 7,612.17 : x
  2. Step 2: Convert to fraction form
    31,304.70/46,956.60 = 7,612.17/x
  3. Step 3: Cross multiply
    31,304.70x = 46,956.60 × 7,612.17
  4. Step 4: Simplify right side
    31,304.70x = 357,441,621.82
  5. Step 5: Solve for x
    x = 357,441,621.82/31,304.70
  6. Step 6: Final answer
    x = 11,418.15

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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.