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Finding the Fourth Proportional to 70,083.70, 96,746.61 and 47,455.54

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Solution

The fourth proportional to 70,083.70, 96,746.61 and 47,455.54 is: 65,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083.70 : 96,746.61 = 47,455.54 : x
  2. Step 2: Convert to fraction form
    70,083.70/96,746.61 = 47,455.54/x
  3. Step 3: Cross multiply
    70,083.70x = 96,746.61 × 47,455.54
  4. Step 4: Simplify right side
    70,083.70x = 4,591,162,620.72
  5. Step 5: Solve for x
    x = 4,591,162,620.72/70,083.70
  6. Step 6: Final answer
    x = 65,509.71

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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.