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Finding the Fourth Proportional to 43,243.98, 64,749.12 and 22,423.74

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Solution

The fourth proportional to 43,243.98, 64,749.12 and 22,423.74 is: 33,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,243.98 : 64,749.12 = 22,423.74 : x
  2. Step 2: Convert to fraction form
    43,243.98/64,749.12 = 22,423.74/x
  3. Step 3: Cross multiply
    43,243.98x = 64,749.12 × 22,423.74
  4. Step 4: Simplify right side
    43,243.98x = 1,451,917,432.11
  5. Step 5: Solve for x
    x = 1,451,917,432.11/43,243.98
  6. Step 6: Final answer
    x = 33,575.02

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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.