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Finding the Fourth Proportional to 101,872.16, 152,773.62 and 35,296.75

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Solution

The fourth proportional to 101,872.16, 152,773.62 and 35,296.75 is: 52,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.16 : 152,773.62 = 35,296.75 : x
  2. Step 2: Convert to fraction form
    101,872.16/152,773.62 = 35,296.75/x
  3. Step 3: Cross multiply
    101,872.16x = 152,773.62 × 35,296.75
  4. Step 4: Simplify right side
    101,872.16x = 5,392,411,507.87
  5. Step 5: Solve for x
    x = 5,392,411,507.87/101,872.16
  6. Step 6: Final answer
    x = 52,933.12

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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.