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Finding the Fourth Proportional to 31,194.50, 46,763.80 and 11,459.25

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Solution

The fourth proportional to 31,194.50, 46,763.80 and 11,459.25 is: 17,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.50 : 46,763.80 = 11,459.25 : x
  2. Step 2: Convert to fraction form
    31,194.50/46,763.80 = 11,459.25/x
  3. Step 3: Cross multiply
    31,194.50x = 46,763.80 × 11,459.25
  4. Step 4: Simplify right side
    31,194.50x = 535,878,046.50
  5. Step 5: Solve for x
    x = 535,878,046.50/31,194.50
  6. Step 6: Final answer
    x = 17,178.61

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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.