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Finding the Fourth Proportional to 109,963.44, 164,864.42 and 35,040.46

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Solution

The fourth proportional to 109,963.44, 164,864.42 and 35,040.46 is: 52,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,963.44 : 164,864.42 = 35,040.46 : x
  2. Step 2: Convert to fraction form
    109,963.44/164,864.42 = 35,040.46/x
  3. Step 3: Cross multiply
    109,963.44x = 164,864.42 × 35,040.46
  4. Step 4: Simplify right side
    109,963.44x = 5,776,925,114.43
  5. Step 5: Solve for x
    x = 5,776,925,114.43/109,963.44
  6. Step 6: Final answer
    x = 52,534.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.