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Finding the Fourth Proportional to 43,711.76, 65,596.80 and 22,671.20

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Solution

The fourth proportional to 43,711.76, 65,596.80 and 22,671.20 is: 34,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,711.76 : 65,596.80 = 22,671.20 : x
  2. Step 2: Convert to fraction form
    43,711.76/65,596.80 = 22,671.20/x
  3. Step 3: Cross multiply
    43,711.76x = 65,596.80 × 22,671.20
  4. Step 4: Simplify right side
    43,711.76x = 1,487,158,172.16
  5. Step 5: Solve for x
    x = 1,487,158,172.16/43,711.76
  6. Step 6: Final answer
    x = 34,021.92

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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.