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Finding the Fourth Proportional to 31,320.94, 46,980.78 and 7,628.62

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Solution

The fourth proportional to 31,320.94, 46,980.78 and 7,628.62 is: 11,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320.94 : 46,980.78 = 7,628.62 : x
  2. Step 2: Convert to fraction form
    31,320.94/46,980.78 = 7,628.62/x
  3. Step 3: Cross multiply
    31,320.94x = 46,980.78 × 7,628.62
  4. Step 4: Simplify right side
    31,320.94x = 358,398,517.92
  5. Step 5: Solve for x
    x = 358,398,517.92/31,320.94
  6. Step 6: Final answer
    x = 11,442.78

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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.