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Finding the Fourth Proportional to 125,721, 188,592.84 and 32,227.56

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Solution

The fourth proportional to 125,721, 188,592.84 and 32,227.56 is: 48,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,721 : 188,592.84 = 32,227.56 : x
  2. Step 2: Convert to fraction form
    125,721/188,592.84 = 32,227.56/x
  3. Step 3: Cross multiply
    125,721x = 188,592.84 × 32,227.56
  4. Step 4: Simplify right side
    125,721x = 6,077,887,066.67
  5. Step 5: Solve for x
    x = 6,077,887,066.67/125,721
  6. Step 6: Final answer
    x = 48,344.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.