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Finding the Fourth Proportional to 31,043.37, 46,571.19 and 12,332.22

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Solution

The fourth proportional to 31,043.37, 46,571.19 and 12,332.22 is: 18,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.37 : 46,571.19 = 12,332.22 : x
  2. Step 2: Convert to fraction form
    31,043.37/46,571.19 = 12,332.22/x
  3. Step 3: Cross multiply
    31,043.37x = 46,571.19 × 12,332.22
  4. Step 4: Simplify right side
    31,043.37x = 574,326,160.74
  5. Step 5: Solve for x
    x = 574,326,160.74/31,043.37
  6. Step 6: Final answer
    x = 18,500.77

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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.