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Finding the Fourth Proportional to 99,802.16, 149,665.08 and 33,229.52

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Solution

The fourth proportional to 99,802.16, 149,665.08 and 33,229.52 is: 49,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802.16 : 149,665.08 = 33,229.52 : x
  2. Step 2: Convert to fraction form
    99,802.16/149,665.08 = 33,229.52/x
  3. Step 3: Cross multiply
    99,802.16x = 149,665.08 × 33,229.52
  4. Step 4: Simplify right side
    99,802.16x = 4,973,298,769.16
  5. Step 5: Solve for x
    x = 4,973,298,769.16/99,802.16
  6. Step 6: Final answer
    x = 49,831.57

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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.