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Finding the Fourth Proportional to 36,507.38, 50,385.65 and 22,368.42

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Solution

The fourth proportional to 36,507.38, 50,385.65 and 22,368.42 is: 30,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,507.38 : 50,385.65 = 22,368.42 : x
  2. Step 2: Convert to fraction form
    36,507.38/50,385.65 = 22,368.42/x
  3. Step 3: Cross multiply
    36,507.38x = 50,385.65 × 22,368.42
  4. Step 4: Simplify right side
    36,507.38x = 1,127,047,269.33
  5. Step 5: Solve for x
    x = 1,127,047,269.33/36,507.38
  6. Step 6: Final answer
    x = 30,871.77

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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.