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Finding the Fourth Proportional to 47,908.50, 66,078.32 and 35,157.38

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Solution

The fourth proportional to 47,908.50, 66,078.32 and 35,157.38 is: 48,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,908.50 : 66,078.32 = 35,157.38 : x
  2. Step 2: Convert to fraction form
    47,908.50/66,078.32 = 35,157.38/x
  3. Step 3: Cross multiply
    47,908.50x = 66,078.32 × 35,157.38
  4. Step 4: Simplify right side
    47,908.50x = 2,323,140,099.82
  5. Step 5: Solve for x
    x = 2,323,140,099.82/47,908.50
  6. Step 6: Final answer
    x = 48,491.19

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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.