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Finding the Fourth Proportional to 99,809.91, 149,738.47 and 32,341.84

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Solution

The fourth proportional to 99,809.91, 149,738.47 and 32,341.84 is: 48,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.91 : 149,738.47 = 32,341.84 : x
  2. Step 2: Convert to fraction form
    99,809.91/149,738.47 = 32,341.84/x
  3. Step 3: Cross multiply
    99,809.91x = 149,738.47 × 32,341.84
  4. Step 4: Simplify right side
    99,809.91x = 4,842,817,183.38
  5. Step 5: Solve for x
    x = 4,842,817,183.38/99,809.91
  6. Step 6: Final answer
    x = 48,520.40

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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.