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Finding the Fourth Proportional to 31,161.42, 46,753.02 and 13,632.57

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Solution

The fourth proportional to 31,161.42, 46,753.02 and 13,632.57 is: 20,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,161.42 : 46,753.02 = 13,632.57 : x
  2. Step 2: Convert to fraction form
    31,161.42/46,753.02 = 13,632.57/x
  3. Step 3: Cross multiply
    31,161.42x = 46,753.02 × 13,632.57
  4. Step 4: Simplify right side
    31,161.42x = 637,363,817.86
  5. Step 5: Solve for x
    x = 637,363,817.86/31,161.42
  6. Step 6: Final answer
    x = 20,453.62

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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.