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Finding the Fourth Proportional to 31,057.68, 46,588.22 and 8,869.32

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Solution

The fourth proportional to 31,057.68, 46,588.22 and 8,869.32 is: 13,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.68 : 46,588.22 = 8,869.32 : x
  2. Step 2: Convert to fraction form
    31,057.68/46,588.22 = 8,869.32/x
  3. Step 3: Cross multiply
    31,057.68x = 46,588.22 × 8,869.32
  4. Step 4: Simplify right side
    31,057.68x = 413,205,831.41
  5. Step 5: Solve for x
    x = 413,205,831.41/31,057.68
  6. Step 6: Final answer
    x = 13,304.47

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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.