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Finding the Fourth Proportional to 31,361.70, 47,038.88 and 11,640.62

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Solution

The fourth proportional to 31,361.70, 47,038.88 and 11,640.62 is: 17,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,361.70 : 47,038.88 = 11,640.62 : x
  2. Step 2: Convert to fraction form
    31,361.70/47,038.88 = 11,640.62/x
  3. Step 3: Cross multiply
    31,361.70x = 47,038.88 × 11,640.62
  4. Step 4: Simplify right side
    31,361.70x = 547,561,727.31
  5. Step 5: Solve for x
    x = 547,561,727.31/31,361.70
  6. Step 6: Final answer
    x = 17,459.57

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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.