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Finding the Fourth Proportional to 105,758.28, 158,652 and 35,657.64

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Solution

The fourth proportional to 105,758.28, 158,652 and 35,657.64 is: 53,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,758.28 : 158,652 = 35,657.64 : x
  2. Step 2: Convert to fraction form
    105,758.28/158,652 = 35,657.64/x
  3. Step 3: Cross multiply
    105,758.28x = 158,652 × 35,657.64
  4. Step 4: Simplify right side
    105,758.28x = 5,657,155,901.28
  5. Step 5: Solve for x
    x = 5,657,155,901.28/105,758.28
  6. Step 6: Final answer
    x = 53,491.38

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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.