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Finding the Fourth Proportional to 49,600.88, 74,742.32 and 41,027.84

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Solution

The fourth proportional to 49,600.88, 74,742.32 and 41,027.84 is: 61,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,600.88 : 74,742.32 = 41,027.84 : x
  2. Step 2: Convert to fraction form
    49,600.88/74,742.32 = 41,027.84/x
  3. Step 3: Cross multiply
    49,600.88x = 74,742.32 × 41,027.84
  4. Step 4: Simplify right side
    49,600.88x = 3,066,515,946.19
  5. Step 5: Solve for x
    x = 3,066,515,946.19/49,600.88
  6. Step 6: Final answer
    x = 61,823.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.