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Finding the Fourth Proportional to 65,278.41, 90,083.43 and 36,597.93

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Solution

The fourth proportional to 65,278.41, 90,083.43 and 36,597.93 is: 50,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,278.41 : 90,083.43 = 36,597.93 : x
  2. Step 2: Convert to fraction form
    65,278.41/90,083.43 = 36,597.93/x
  3. Step 3: Cross multiply
    65,278.41x = 90,083.43 × 36,597.93
  4. Step 4: Simplify right side
    65,278.41x = 3,296,867,065.30
  5. Step 5: Solve for x
    x = 3,296,867,065.30/65,278.41
  6. Step 6: Final answer
    x = 50,504.71

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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.