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Finding the Fourth Proportional to 31,223.58, 43,086.15 and 17,792.16

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Solution

The fourth proportional to 31,223.58, 43,086.15 and 17,792.16 is: 24,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.58 : 43,086.15 = 17,792.16 : x
  2. Step 2: Convert to fraction form
    31,223.58/43,086.15 = 17,792.16/x
  3. Step 3: Cross multiply
    31,223.58x = 43,086.15 × 17,792.16
  4. Step 4: Simplify right side
    31,223.58x = 766,595,674.58
  5. Step 5: Solve for x
    x = 766,595,674.58/31,223.58
  6. Step 6: Final answer
    x = 24,551.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.