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Finding the Fourth Proportional to 73,937.76, 102,037.32 and 41,683.20

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Solution

The fourth proportional to 73,937.76, 102,037.32 and 41,683.20 is: 57,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,937.76 : 102,037.32 = 41,683.20 : x
  2. Step 2: Convert to fraction form
    73,937.76/102,037.32 = 41,683.20/x
  3. Step 3: Cross multiply
    73,937.76x = 102,037.32 × 41,683.20
  4. Step 4: Simplify right side
    73,937.76x = 4,253,242,017.02
  5. Step 5: Solve for x
    x = 4,253,242,017.02/73,937.76
  6. Step 6: Final answer
    x = 57,524.63

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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.