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Finding the Fourth Proportional to 74,657.78, 103,027.74 and 41,123.78

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Solution

The fourth proportional to 74,657.78, 103,027.74 and 41,123.78 is: 56,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,657.78 : 103,027.74 = 41,123.78 : x
  2. Step 2: Convert to fraction form
    74,657.78/103,027.74 = 41,123.78/x
  3. Step 3: Cross multiply
    74,657.78x = 103,027.74 × 41,123.78
  4. Step 4: Simplify right side
    74,657.78x = 4,236,890,113.66
  5. Step 5: Solve for x
    x = 4,236,890,113.66/74,657.78
  6. Step 6: Final answer
    x = 56,750.82

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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.