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Finding the Fourth Proportional to 101,715.42, 152,593.62 and 35,158.14

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Solution

The fourth proportional to 101,715.42, 152,593.62 and 35,158.14 is: 52,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,715.42 : 152,593.62 = 35,158.14 : x
  2. Step 2: Convert to fraction form
    101,715.42/152,593.62 = 35,158.14/x
  3. Step 3: Cross multiply
    101,715.42x = 152,593.62 × 35,158.14
  4. Step 4: Simplify right side
    101,715.42x = 5,364,907,855.07
  5. Step 5: Solve for x
    x = 5,364,907,855.07/101,715.42
  6. Step 6: Final answer
    x = 52,744.29

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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.