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Finding the Fourth Proportional to 31,334.49, 47,004.47 and 11,613.22

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Solution

The fourth proportional to 31,334.49, 47,004.47 and 11,613.22 is: 17,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334.49 : 47,004.47 = 11,613.22 : x
  2. Step 2: Convert to fraction form
    31,334.49/47,004.47 = 11,613.22/x
  3. Step 3: Cross multiply
    31,334.49x = 47,004.47 × 11,613.22
  4. Step 4: Simplify right side
    31,334.49x = 545,873,251.09
  5. Step 5: Solve for x
    x = 545,873,251.09/31,334.49
  6. Step 6: Final answer
    x = 17,420.84

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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.