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Finding the Fourth Proportional to 74,705, 103,099.38 and 41,177.48

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Solution

The fourth proportional to 74,705, 103,099.38 and 41,177.48 is: 56,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,705 : 103,099.38 = 41,177.48 : x
  2. Step 2: Convert to fraction form
    74,705/103,099.38 = 41,177.48/x
  3. Step 3: Cross multiply
    74,705x = 103,099.38 × 41,177.48
  4. Step 4: Simplify right side
    74,705x = 4,245,372,657.96
  5. Step 5: Solve for x
    x = 4,245,372,657.96/74,705
  6. Step 6: Final answer
    x = 56,828.49

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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.