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Finding the Fourth Proportional to 36,534.38, 50,417.45 and 19,767.38

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Solution

The fourth proportional to 36,534.38, 50,417.45 and 19,767.38 is: 27,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534.38 : 50,417.45 = 19,767.38 : x
  2. Step 2: Convert to fraction form
    36,534.38/50,417.45 = 19,767.38/x
  3. Step 3: Cross multiply
    36,534.38x = 50,417.45 × 19,767.38
  4. Step 4: Simplify right side
    36,534.38x = 996,620,541.86
  5. Step 5: Solve for x
    x = 996,620,541.86/36,534.38
  6. Step 6: Final answer
    x = 27,278.98

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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.