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Finding the Fourth Proportional to 101,428.20, 152,105.04 and 34,849.44

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Solution

The fourth proportional to 101,428.20, 152,105.04 and 34,849.44 is: 52,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,428.20 : 152,105.04 = 34,849.44 : x
  2. Step 2: Convert to fraction form
    101,428.20/152,105.04 = 34,849.44/x
  3. Step 3: Cross multiply
    101,428.20x = 152,105.04 × 34,849.44
  4. Step 4: Simplify right side
    101,428.20x = 5,300,775,465.18
  5. Step 5: Solve for x
    x = 5,300,775,465.18/101,428.20
  6. Step 6: Final answer
    x = 52,261.36

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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.