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Finding the Fourth Proportional to 70,196.46, 105,350.10 and 32,737.20

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Solution

The fourth proportional to 70,196.46, 105,350.10 and 32,737.20 is: 49,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,196.46 : 105,350.10 = 32,737.20 : x
  2. Step 2: Convert to fraction form
    70,196.46/105,350.10 = 32,737.20/x
  3. Step 3: Cross multiply
    70,196.46x = 105,350.10 × 32,737.20
  4. Step 4: Simplify right side
    70,196.46x = 3,448,867,293.72
  5. Step 5: Solve for x
    x = 3,448,867,293.72/70,196.46
  6. Step 6: Final answer
    x = 49,131.64

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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.