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Finding the Fourth Proportional to 58,414.12, 80,617.83 and 35,768.38

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Solution

The fourth proportional to 58,414.12, 80,617.83 and 35,768.38 is: 49,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,414.12 : 80,617.83 = 35,768.38 : x
  2. Step 2: Convert to fraction form
    58,414.12/80,617.83 = 35,768.38/x
  3. Step 3: Cross multiply
    58,414.12x = 80,617.83 × 35,768.38
  4. Step 4: Simplify right side
    58,414.12x = 2,883,569,178.22
  5. Step 5: Solve for x
    x = 2,883,569,178.22/58,414.12
  6. Step 6: Final answer
    x = 49,364.25

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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.