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Finding the Fourth Proportional to 125,724, 188,597.34 and 32,230.56

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Solution

The fourth proportional to 125,724, 188,597.34 and 32,230.56 is: 48,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,724 : 188,597.34 = 32,230.56 : x
  2. Step 2: Convert to fraction form
    125,724/188,597.34 = 32,230.56/x
  3. Step 3: Cross multiply
    125,724x = 188,597.34 × 32,230.56
  4. Step 4: Simplify right side
    125,724x = 6,078,597,882.71
  5. Step 5: Solve for x
    x = 6,078,597,882.71/125,724
  6. Step 6: Final answer
    x = 48,348.75

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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.