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Finding the Fourth Proportional to 31,186.73, 46,752.36 and 11,460.68

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Solution

The fourth proportional to 31,186.73, 46,752.36 and 11,460.68 is: 17,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.73 : 46,752.36 = 11,460.68 : x
  2. Step 2: Convert to fraction form
    31,186.73/46,752.36 = 11,460.68/x
  3. Step 3: Cross multiply
    31,186.73x = 46,752.36 × 11,460.68
  4. Step 4: Simplify right side
    31,186.73x = 535,813,766.74
  5. Step 5: Solve for x
    x = 535,813,766.74/31,186.73
  6. Step 6: Final answer
    x = 17,180.82

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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.