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Finding the Fourth Proportional to 31,083.68, 46,632.80 and 12,364.78

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Solution

The fourth proportional to 31,083.68, 46,632.80 and 12,364.78 is: 18,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083.68 : 46,632.80 = 12,364.78 : x
  2. Step 2: Convert to fraction form
    31,083.68/46,632.80 = 12,364.78/x
  3. Step 3: Cross multiply
    31,083.68x = 46,632.80 × 12,364.78
  4. Step 4: Simplify right side
    31,083.68x = 576,604,227.11
  5. Step 5: Solve for x
    x = 576,604,227.11/31,083.68
  6. Step 6: Final answer
    x = 18,550.07

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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.