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Finding the Fourth Proportional to 36,116, 49,841.04 and 20,203.16

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Solution

The fourth proportional to 36,116, 49,841.04 and 20,203.16 is: 27,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,116 : 49,841.04 = 20,203.16 : x
  2. Step 2: Convert to fraction form
    36,116/49,841.04 = 20,203.16/x
  3. Step 3: Cross multiply
    36,116x = 49,841.04 × 20,203.16
  4. Step 4: Simplify right side
    36,116x = 1,006,946,505.69
  5. Step 5: Solve for x
    x = 1,006,946,505.69/36,116
  6. Step 6: Final answer
    x = 27,880.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.