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Finding the Fourth Proportional to 43,665, 60,257.72 and 23,793

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Solution

The fourth proportional to 43,665, 60,257.72 and 23,793 is: 32,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,665 : 60,257.72 = 23,793 : x
  2. Step 2: Convert to fraction form
    43,665/60,257.72 = 23,793/x
  3. Step 3: Cross multiply
    43,665x = 60,257.72 × 23,793
  4. Step 4: Simplify right side
    43,665x = 1,433,711,931.96
  5. Step 5: Solve for x
    x = 1,433,711,931.96/43,665
  6. Step 6: Final answer
    x = 32,834.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.