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Finding the Fourth Proportional to 106,212.60, 159,318.90 and 32,340.60

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Solution

The fourth proportional to 106,212.60, 159,318.90 and 32,340.60 is: 48,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,212.60 : 159,318.90 = 32,340.60 : x
  2. Step 2: Convert to fraction form
    106,212.60/159,318.90 = 32,340.60/x
  3. Step 3: Cross multiply
    106,212.60x = 159,318.90 × 32,340.60
  4. Step 4: Simplify right side
    106,212.60x = 5,152,468,817.34
  5. Step 5: Solve for x
    x = 5,152,468,817.34/106,212.60
  6. Step 6: Final answer
    x = 48,510.90

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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.