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Finding the Fourth Proportional to 90,144, 135,187.24 and 30,965.40

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Solution

The fourth proportional to 90,144, 135,187.24 and 30,965.40 is: 46,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,144 : 135,187.24 = 30,965.40 : x
  2. Step 2: Convert to fraction form
    90,144/135,187.24 = 30,965.40/x
  3. Step 3: Cross multiply
    90,144x = 135,187.24 × 30,965.40
  4. Step 4: Simplify right side
    90,144x = 4,186,126,961.50
  5. Step 5: Solve for x
    x = 4,186,126,961.50/90,144
  6. Step 6: Final answer
    x = 46,438.22

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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.