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Finding the Fourth Proportional to 31,533.57, 47,278.49 and 14,879.57

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Solution

The fourth proportional to 31,533.57, 47,278.49 and 14,879.57 is: 22,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.57 : 47,278.49 = 14,879.57 : x
  2. Step 2: Convert to fraction form
    31,533.57/47,278.49 = 14,879.57/x
  3. Step 3: Cross multiply
    31,533.57x = 47,278.49 × 14,879.57
  4. Step 4: Simplify right side
    31,533.57x = 703,483,290.66
  5. Step 5: Solve for x
    x = 703,483,290.66/31,533.57
  6. Step 6: Final answer
    x = 22,309.03

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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.