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Finding the Fourth Proportional to 57,820.38, 79,805.46 and 37,642.13

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Solution

The fourth proportional to 57,820.38, 79,805.46 and 37,642.13 is: 51,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,820.38 : 79,805.46 = 37,642.13 : x
  2. Step 2: Convert to fraction form
    57,820.38/79,805.46 = 37,642.13/x
  3. Step 3: Cross multiply
    57,820.38x = 79,805.46 × 37,642.13
  4. Step 4: Simplify right side
    57,820.38x = 3,004,047,101.00
  5. Step 5: Solve for x
    x = 3,004,047,101.00/57,820.38
  6. Step 6: Final answer
    x = 51,954.81

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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.