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Finding the Fourth Proportional to 125,969.50, 188,965.19 and 32,475.25

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Solution

The fourth proportional to 125,969.50, 188,965.19 and 32,475.25 is: 48,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,969.50 : 188,965.19 = 32,475.25 : x
  2. Step 2: Convert to fraction form
    125,969.50/188,965.19 = 32,475.25/x
  3. Step 3: Cross multiply
    125,969.50x = 188,965.19 × 32,475.25
  4. Step 4: Simplify right side
    125,969.50x = 6,136,691,786.55
  5. Step 5: Solve for x
    x = 6,136,691,786.55/125,969.50
  6. Step 6: Final answer
    x = 48,715.70

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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.