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Finding the Fourth Proportional to 56,798.70, 78,380.46 and 35,589.66

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Solution

The fourth proportional to 56,798.70, 78,380.46 and 35,589.66 is: 49,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,798.70 : 78,380.46 = 35,589.66 : x
  2. Step 2: Convert to fraction form
    56,798.70/78,380.46 = 35,589.66/x
  3. Step 3: Cross multiply
    56,798.70x = 78,380.46 × 35,589.66
  4. Step 4: Simplify right side
    56,798.70x = 2,789,533,922.04
  5. Step 5: Solve for x
    x = 2,789,533,922.04/56,798.70
  6. Step 6: Final answer
    x = 49,112.64

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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.