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Finding the Fourth Proportional to 99,543.77, 149,313.81 and 24,664.10

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Solution

The fourth proportional to 99,543.77, 149,313.81 and 24,664.10 is: 36,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,543.77 : 149,313.81 = 24,664.10 : x
  2. Step 2: Convert to fraction form
    99,543.77/149,313.81 = 24,664.10/x
  3. Step 3: Cross multiply
    99,543.77x = 149,313.81 × 24,664.10
  4. Step 4: Simplify right side
    99,543.77x = 3,682,690,087.14
  5. Step 5: Solve for x
    x = 3,682,690,087.14/99,543.77
  6. Step 6: Final answer
    x = 36,995.69

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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.