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Finding the Fourth Proportional to 91,950.60, 137,942.10 and 32,820.60

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Solution

The fourth proportional to 91,950.60, 137,942.10 and 32,820.60 is: 49,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,950.60 : 137,942.10 = 32,820.60 : x
  2. Step 2: Convert to fraction form
    91,950.60/137,942.10 = 32,820.60/x
  3. Step 3: Cross multiply
    91,950.60x = 137,942.10 × 32,820.60
  4. Step 4: Simplify right side
    91,950.60x = 4,527,342,487.26
  5. Step 5: Solve for x
    x = 4,527,342,487.26/91,950.60
  6. Step 6: Final answer
    x = 49,236.68

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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.