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Finding the Fourth Proportional to 31,272.70, 46,911.51 and 9,086.46

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Solution

The fourth proportional to 31,272.70, 46,911.51 and 9,086.46 is: 13,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272.70 : 46,911.51 = 9,086.46 : x
  2. Step 2: Convert to fraction form
    31,272.70/46,911.51 = 9,086.46/x
  3. Step 3: Cross multiply
    31,272.70x = 46,911.51 × 9,086.46
  4. Step 4: Simplify right side
    31,272.70x = 426,259,559.15
  5. Step 5: Solve for x
    x = 426,259,559.15/31,272.70
  6. Step 6: Final answer
    x = 13,630.40

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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.