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Finding the Fourth Proportional to 105,963.40, 158,846.28 and 35,793.64

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Solution

The fourth proportional to 105,963.40, 158,846.28 and 35,793.64 is: 53,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,963.40 : 158,846.28 = 35,793.64 : x
  2. Step 2: Convert to fraction form
    105,963.40/158,846.28 = 35,793.64/x
  3. Step 3: Cross multiply
    105,963.40x = 158,846.28 × 35,793.64
  4. Step 4: Simplify right side
    105,963.40x = 5,685,686,561.66
  5. Step 5: Solve for x
    x = 5,685,686,561.66/105,963.40
  6. Step 6: Final answer
    x = 53,657.08

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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.