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Finding the Fourth Proportional to 82,730.70, 124,059.60 and 32,794.20

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Solution

The fourth proportional to 82,730.70, 124,059.60 and 32,794.20 is: 49,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,730.70 : 124,059.60 = 32,794.20 : x
  2. Step 2: Convert to fraction form
    82,730.70/124,059.60 = 32,794.20/x
  3. Step 3: Cross multiply
    82,730.70x = 124,059.60 × 32,794.20
  4. Step 4: Simplify right side
    82,730.70x = 4,068,435,334.32
  5. Step 5: Solve for x
    x = 4,068,435,334.32/82,730.70
  6. Step 6: Final answer
    x = 49,176.85

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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.