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Finding the Fourth Proportional to 43,822.80, 65,719.80 and 16,117.20

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Solution

The fourth proportional to 43,822.80, 65,719.80 and 16,117.20 is: 24,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,822.80 : 65,719.80 = 16,117.20 : x
  2. Step 2: Convert to fraction form
    43,822.80/65,719.80 = 16,117.20/x
  3. Step 3: Cross multiply
    43,822.80x = 65,719.80 × 16,117.20
  4. Step 4: Simplify right side
    43,822.80x = 1,059,219,160.56
  5. Step 5: Solve for x
    x = 1,059,219,160.56/43,822.80
  6. Step 6: Final answer
    x = 24,170.50

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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.