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Finding the Fourth Proportional to 31,711.88, 43,762.02 and 17,564.60

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Solution

The fourth proportional to 31,711.88, 43,762.02 and 17,564.60 is: 24,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.88 : 43,762.02 = 17,564.60 : x
  2. Step 2: Convert to fraction form
    31,711.88/43,762.02 = 17,564.60/x
  3. Step 3: Cross multiply
    31,711.88x = 43,762.02 × 17,564.60
  4. Step 4: Simplify right side
    31,711.88x = 768,662,376.49
  5. Step 5: Solve for x
    x = 768,662,376.49/31,711.88
  6. Step 6: Final answer
    x = 24,238.94

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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.