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Finding the Fourth Proportional to 70,789.82, 106,184.60 and 48,535.73

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Solution

The fourth proportional to 70,789.82, 106,184.60 and 48,535.73 is: 72,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,789.82 : 106,184.60 = 48,535.73 : x
  2. Step 2: Convert to fraction form
    70,789.82/106,184.60 = 48,535.73/x
  3. Step 3: Cross multiply
    70,789.82x = 106,184.60 × 48,535.73
  4. Step 4: Simplify right side
    70,789.82x = 5,153,746,302.16
  5. Step 5: Solve for x
    x = 5,153,746,302.16/70,789.82
  6. Step 6: Final answer
    x = 72,803.50

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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.