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Finding the Fourth Proportional to 81,973.70, 122,960.55 and 40,415.30

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Solution

The fourth proportional to 81,973.70, 122,960.55 and 40,415.30 is: 60,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,973.70 : 122,960.55 = 40,415.30 : x
  2. Step 2: Convert to fraction form
    81,973.70/122,960.55 = 40,415.30/x
  3. Step 3: Cross multiply
    81,973.70x = 122,960.55 × 40,415.30
  4. Step 4: Simplify right side
    81,973.70x = 4,969,487,516.42
  5. Step 5: Solve for x
    x = 4,969,487,516.42/81,973.70
  6. Step 6: Final answer
    x = 60,622.95

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1.5x scale

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.