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Finding the Fourth Proportional to 101,213.35, 151,653.84 and 34,617.15

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Solution

The fourth proportional to 101,213.35, 151,653.84 and 34,617.15 is: 51,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,213.35 : 151,653.84 = 34,617.15 : x
  2. Step 2: Convert to fraction form
    101,213.35/151,653.84 = 34,617.15/x
  3. Step 3: Cross multiply
    101,213.35x = 151,653.84 × 34,617.15
  4. Step 4: Simplify right side
    101,213.35x = 5,249,823,727.36
  5. Step 5: Solve for x
    x = 5,249,823,727.36/101,213.35
  6. Step 6: Final answer
    x = 51,868.89

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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.