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Finding the Fourth Proportional to 31,048.54, 46,542.75 and 12,322.42

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Solution

The fourth proportional to 31,048.54, 46,542.75 and 12,322.42 is: 18,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.54 : 46,542.75 = 12,322.42 : x
  2. Step 2: Convert to fraction form
    31,048.54/46,542.75 = 12,322.42/x
  3. Step 3: Cross multiply
    31,048.54x = 46,542.75 × 12,322.42
  4. Step 4: Simplify right side
    31,048.54x = 573,519,313.46
  5. Step 5: Solve for x
    x = 573,519,313.46/31,048.54
  6. Step 6: Final answer
    x = 18,471.70

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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.