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Finding the Fourth Proportional to 70,126.81, 96,725.87 and 47,455.82

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Solution

The fourth proportional to 70,126.81, 96,725.87 and 47,455.82 is: 65,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,126.81 : 96,725.87 = 47,455.82 : x
  2. Step 2: Convert to fraction form
    70,126.81/96,725.87 = 47,455.82/x
  3. Step 3: Cross multiply
    70,126.81x = 96,725.87 × 47,455.82
  4. Step 4: Simplify right side
    70,126.81x = 4,590,204,755.15
  5. Step 5: Solve for x
    x = 4,590,204,755.15/70,126.81
  6. Step 6: Final answer
    x = 65,455.78

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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.