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Finding the Fourth Proportional to 43,409.50, 65,114.19 and 28,510.66

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Solution

The fourth proportional to 43,409.50, 65,114.19 and 28,510.66 is: 42,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409.50 : 65,114.19 = 28,510.66 : x
  2. Step 2: Convert to fraction form
    43,409.50/65,114.19 = 28,510.66/x
  3. Step 3: Cross multiply
    43,409.50x = 65,114.19 × 28,510.66
  4. Step 4: Simplify right side
    43,409.50x = 1,856,448,532.27
  5. Step 5: Solve for x
    x = 1,856,448,532.27/43,409.50
  6. Step 6: Final answer
    x = 42,765.95

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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.