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Finding the Fourth Proportional to 110,816.64, 166,186.24 and 31,909.76

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Solution

The fourth proportional to 110,816.64, 166,186.24 and 31,909.76 is: 47,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,816.64 : 166,186.24 = 31,909.76 : x
  2. Step 2: Convert to fraction form
    110,816.64/166,186.24 = 31,909.76/x
  3. Step 3: Cross multiply
    110,816.64x = 166,186.24 × 31,909.76
  4. Step 4: Simplify right side
    110,816.64x = 5,302,963,033.70
  5. Step 5: Solve for x
    x = 5,302,963,033.70/110,816.64
  6. Step 6: Final answer
    x = 47,853.49

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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.