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Finding the Fourth Proportional to 65,140.56, 89,892.38 and 36,460.60

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Solution

The fourth proportional to 65,140.56, 89,892.38 and 36,460.60 is: 50,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.56 : 89,892.38 = 36,460.60 : x
  2. Step 2: Convert to fraction form
    65,140.56/89,892.38 = 36,460.60/x
  3. Step 3: Cross multiply
    65,140.56x = 89,892.38 × 36,460.60
  4. Step 4: Simplify right side
    65,140.56x = 3,277,530,110.23
  5. Step 5: Solve for x
    x = 3,277,530,110.23/65,140.56
  6. Step 6: Final answer
    x = 50,314.74

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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.