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Finding the Fourth Proportional to 65,202.42, 89,981.55 and 36,523.31

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Solution

The fourth proportional to 65,202.42, 89,981.55 and 36,523.31 is: 50,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202.42 : 89,981.55 = 36,523.31 : x
  2. Step 2: Convert to fraction form
    65,202.42/89,981.55 = 36,523.31/x
  3. Step 3: Cross multiply
    65,202.42x = 89,981.55 × 36,523.31
  4. Step 4: Simplify right side
    65,202.42x = 3,286,424,044.93
  5. Step 5: Solve for x
    x = 3,286,424,044.93/65,202.42
  6. Step 6: Final answer
    x = 50,403.41

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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.