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Finding the Fourth Proportional to 31,334.69, 47,014.34 and 13,792.22

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Solution

The fourth proportional to 31,334.69, 47,014.34 and 13,792.22 is: 20,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334.69 : 47,014.34 = 13,792.22 : x
  2. Step 2: Convert to fraction form
    31,334.69/47,014.34 = 13,792.22/x
  3. Step 3: Cross multiply
    31,334.69x = 47,014.34 × 13,792.22
  4. Step 4: Simplify right side
    31,334.69x = 648,431,816.40
  5. Step 5: Solve for x
    x = 648,431,816.40/31,334.69
  6. Step 6: Final answer
    x = 20,693.74

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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.