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Finding the Fourth Proportional to 31,205.68, 46,816.71 and 11,217.19

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Solution

The fourth proportional to 31,205.68, 46,816.71 and 11,217.19 is: 16,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.68 : 46,816.71 = 11,217.19 : x
  2. Step 2: Convert to fraction form
    31,205.68/46,816.71 = 11,217.19/x
  3. Step 3: Cross multiply
    31,205.68x = 46,816.71 × 11,217.19
  4. Step 4: Simplify right side
    31,205.68x = 525,151,931.24
  5. Step 5: Solve for x
    x = 525,151,931.24/31,205.68
  6. Step 6: Final answer
    x = 16,828.73

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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.