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Finding the Fourth Proportional to 99,792.05, 149,712.03 and 33,232.77

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Solution

The fourth proportional to 99,792.05, 149,712.03 and 33,232.77 is: 49,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792.05 : 149,712.03 = 33,232.77 : x
  2. Step 2: Convert to fraction form
    99,792.05/149,712.03 = 33,232.77/x
  3. Step 3: Cross multiply
    99,792.05x = 149,712.03 × 33,232.77
  4. Step 4: Simplify right side
    99,792.05x = 4,975,345,459.22
  5. Step 5: Solve for x
    x = 4,975,345,459.22/99,792.05
  6. Step 6: Final answer
    x = 49,857.13

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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.