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Finding the Fourth Proportional to 102,579.30, 153,853.55 and 32,449.50

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Solution

The fourth proportional to 102,579.30, 153,853.55 and 32,449.50 is: 48,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,579.30 : 153,853.55 = 32,449.50 : x
  2. Step 2: Convert to fraction form
    102,579.30/153,853.55 = 32,449.50/x
  3. Step 3: Cross multiply
    102,579.30x = 153,853.55 × 32,449.50
  4. Step 4: Simplify right side
    102,579.30x = 4,992,470,770.73
  5. Step 5: Solve for x
    x = 4,992,470,770.73/102,579.30
  6. Step 6: Final answer
    x = 48,669.38

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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.