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Finding the Fourth Proportional to 36,160.14, 49,903.47 and 20,244.18

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Solution

The fourth proportional to 36,160.14, 49,903.47 and 20,244.18 is: 27,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,160.14 : 49,903.47 = 20,244.18 : x
  2. Step 2: Convert to fraction form
    36,160.14/49,903.47 = 20,244.18/x
  3. Step 3: Cross multiply
    36,160.14x = 49,903.47 × 20,244.18
  4. Step 4: Simplify right side
    36,160.14x = 1,010,254,829.30
  5. Step 5: Solve for x
    x = 1,010,254,829.30/36,160.14
  6. Step 6: Final answer
    x = 27,938.36

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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.