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Finding the Fourth Proportional to 99,924.48, 149,901.60 and 33,345.60

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Solution

The fourth proportional to 99,924.48, 149,901.60 and 33,345.60 is: 50,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924.48 : 149,901.60 = 33,345.60 : x
  2. Step 2: Convert to fraction form
    99,924.48/149,901.60 = 33,345.60/x
  3. Step 3: Cross multiply
    99,924.48x = 149,901.60 × 33,345.60
  4. Step 4: Simplify right side
    99,924.48x = 4,998,558,792.96
  5. Step 5: Solve for x
    x = 4,998,558,792.96/99,924.48
  6. Step 6: Final answer
    x = 50,023.37

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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.