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Finding the Fourth Proportional to 100,510.74, 150,766.20 and 47,760.30

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Solution

The fourth proportional to 100,510.74, 150,766.20 and 47,760.30 is: 71,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,510.74 : 150,766.20 = 47,760.30 : x
  2. Step 2: Convert to fraction form
    100,510.74/150,766.20 = 47,760.30/x
  3. Step 3: Cross multiply
    100,510.74x = 150,766.20 × 47,760.30
  4. Step 4: Simplify right side
    100,510.74x = 7,200,638,941.86
  5. Step 5: Solve for x
    x = 7,200,638,941.86/100,510.74
  6. Step 6: Final answer
    x = 71,640.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.