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Finding the Fourth Proportional to 94,141.50, 141,229.65 and 30,965.10

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Solution

The fourth proportional to 94,141.50, 141,229.65 and 30,965.10 is: 46,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,141.50 : 141,229.65 = 30,965.10 : x
  2. Step 2: Convert to fraction form
    94,141.50/141,229.65 = 30,965.10/x
  3. Step 3: Cross multiply
    94,141.50x = 141,229.65 × 30,965.10
  4. Step 4: Simplify right side
    94,141.50x = 4,373,190,235.22
  5. Step 5: Solve for x
    x = 4,373,190,235.22/94,141.50
  6. Step 6: Final answer
    x = 46,453.37

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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.