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Finding the Fourth Proportional to 47,105.60, 70,773.60 and 35,441.60

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Solution

The fourth proportional to 47,105.60, 70,773.60 and 35,441.60 is: 53,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105.60 : 70,773.60 = 35,441.60 : x
  2. Step 2: Convert to fraction form
    47,105.60/70,773.60 = 35,441.60/x
  3. Step 3: Cross multiply
    47,105.60x = 70,773.60 × 35,441.60
  4. Step 4: Simplify right side
    47,105.60x = 2,508,329,621.76
  5. Step 5: Solve for x
    x = 2,508,329,621.76/47,105.60
  6. Step 6: Final answer
    x = 53,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.