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Finding the Fourth Proportional to 33,302.81, 49,929.62 and 20,152.26

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Solution

The fourth proportional to 33,302.81, 49,929.62 and 20,152.26 is: 30,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.81 : 49,929.62 = 20,152.26 : x
  2. Step 2: Convert to fraction form
    33,302.81/49,929.62 = 20,152.26/x
  3. Step 3: Cross multiply
    33,302.81x = 49,929.62 × 20,152.26
  4. Step 4: Simplify right side
    33,302.81x = 1,006,194,583.18
  5. Step 5: Solve for x
    x = 1,006,194,583.18/33,302.81
  6. Step 6: Final answer
    x = 30,213.50

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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.