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Finding the Fourth Proportional to 65,143.71, 89,902.62 and 36,466.02

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Solution

The fourth proportional to 65,143.71, 89,902.62 and 36,466.02 is: 50,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143.71 : 89,902.62 = 36,466.02 : x
  2. Step 2: Convert to fraction form
    65,143.71/89,902.62 = 36,466.02/x
  3. Step 3: Cross multiply
    65,143.71x = 89,902.62 × 36,466.02
  4. Step 4: Simplify right side
    65,143.71x = 3,278,390,738.97
  5. Step 5: Solve for x
    x = 3,278,390,738.97/65,143.71
  6. Step 6: Final answer
    x = 50,325.51

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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.