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Finding the Fourth Proportional to 54,177.35, 74,764.74 and 35,314.47

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Solution

The fourth proportional to 54,177.35, 74,764.74 and 35,314.47 is: 48,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,177.35 : 74,764.74 = 35,314.47 : x
  2. Step 2: Convert to fraction form
    54,177.35/74,764.74 = 35,314.47/x
  3. Step 3: Cross multiply
    54,177.35x = 74,764.74 × 35,314.47
  4. Step 4: Simplify right side
    54,177.35x = 2,640,276,991.22
  5. Step 5: Solve for x
    x = 2,640,276,991.22/54,177.35
  6. Step 6: Final answer
    x = 48,733.97

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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.