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Finding the Fourth Proportional to 31,356.38, 47,009.86 and 15,550.85

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Solution

The fourth proportional to 31,356.38, 47,009.86 and 15,550.85 is: 23,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356.38 : 47,009.86 = 15,550.85 : x
  2. Step 2: Convert to fraction form
    31,356.38/47,009.86 = 15,550.85/x
  3. Step 3: Cross multiply
    31,356.38x = 47,009.86 × 15,550.85
  4. Step 4: Simplify right side
    31,356.38x = 731,043,271.22
  5. Step 5: Solve for x
    x = 731,043,271.22/31,356.38
  6. Step 6: Final answer
    x = 23,314.02

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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.