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Finding the Fourth Proportional to 31,068, 46,601.28 and 7,694.64

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Solution

The fourth proportional to 31,068, 46,601.28 and 7,694.64 is: 11,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068 : 46,601.28 = 7,694.64 : x
  2. Step 2: Convert to fraction form
    31,068/46,601.28 = 7,694.64/x
  3. Step 3: Cross multiply
    31,068x = 46,601.28 × 7,694.64
  4. Step 4: Simplify right side
    31,068x = 358,580,073.14
  5. Step 5: Solve for x
    x = 358,580,073.14/31,068
  6. Step 6: Final answer
    x = 11,541.78

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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.