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Finding the Fourth Proportional to 101,855.20, 152,746.24 and 35,277.44

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Solution

The fourth proportional to 101,855.20, 152,746.24 and 35,277.44 is: 52,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,855.20 : 152,746.24 = 35,277.44 : x
  2. Step 2: Convert to fraction form
    101,855.20/152,746.24 = 35,277.44/x
  3. Step 3: Cross multiply
    101,855.20x = 152,746.24 × 35,277.44
  4. Step 4: Simplify right side
    101,855.20x = 5,388,496,316.83
  5. Step 5: Solve for x
    x = 5,388,496,316.83/101,855.20
  6. Step 6: Final answer
    x = 52,903.50

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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.