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Finding the Fourth Proportional to 65,146.56, 89,900.66 and 36,466.60

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Solution

The fourth proportional to 65,146.56, 89,900.66 and 36,466.60 is: 50,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.56 : 89,900.66 = 36,466.60 : x
  2. Step 2: Convert to fraction form
    65,146.56/89,900.66 = 36,466.60/x
  3. Step 3: Cross multiply
    65,146.56x = 89,900.66 × 36,466.60
  4. Step 4: Simplify right side
    65,146.56x = 3,278,371,407.96
  5. Step 5: Solve for x
    x = 3,278,371,407.96/65,146.56
  6. Step 6: Final answer
    x = 50,323.02

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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.