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Finding the Fourth Proportional to 82,455.76, 113,789.28 and 44,730.28

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Solution

The fourth proportional to 82,455.76, 113,789.28 and 44,730.28 is: 61,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,455.76 : 113,789.28 = 44,730.28 : x
  2. Step 2: Convert to fraction form
    82,455.76/113,789.28 = 44,730.28/x
  3. Step 3: Cross multiply
    82,455.76x = 113,789.28 × 44,730.28
  4. Step 4: Simplify right side
    82,455.76x = 5,089,826,355.40
  5. Step 5: Solve for x
    x = 5,089,826,355.40/82,455.76
  6. Step 6: Final answer
    x = 61,727.97

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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.