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Finding the Fourth Proportional to 36,038.01, 49,727.82 and 20,123.13

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Solution

The fourth proportional to 36,038.01, 49,727.82 and 20,123.13 is: 27,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038.01 : 49,727.82 = 20,123.13 : x
  2. Step 2: Convert to fraction form
    36,038.01/49,727.82 = 20,123.13/x
  3. Step 3: Cross multiply
    36,038.01x = 49,727.82 × 20,123.13
  4. Step 4: Simplify right side
    36,038.01x = 1,000,679,648.42
  5. Step 5: Solve for x
    x = 1,000,679,648.42/36,038.01
  6. Step 6: Final answer
    x = 27,767.34

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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.