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Finding the Fourth Proportional to 125,608.32, 188,418.96 and 32,114.88

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Solution

The fourth proportional to 125,608.32, 188,418.96 and 32,114.88 is: 48,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,608.32 : 188,418.96 = 32,114.88 : x
  2. Step 2: Convert to fraction form
    125,608.32/188,418.96 = 32,114.88/x
  3. Step 3: Cross multiply
    125,608.32x = 188,418.96 × 32,114.88
  4. Step 4: Simplify right side
    125,608.32x = 6,051,052,290.12
  5. Step 5: Solve for x
    x = 6,051,052,290.12/125,608.32
  6. Step 6: Final answer
    x = 48,173.98

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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.