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Finding the Fourth Proportional to 65,093.16, 89,824.33 and 36,407.86

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Solution

The fourth proportional to 65,093.16, 89,824.33 and 36,407.86 is: 50,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093.16 : 89,824.33 = 36,407.86 : x
  2. Step 2: Convert to fraction form
    65,093.16/89,824.33 = 36,407.86/x
  3. Step 3: Cross multiply
    65,093.16x = 89,824.33 × 36,407.86
  4. Step 4: Simplify right side
    65,093.16x = 3,270,311,147.23
  5. Step 5: Solve for x
    x = 3,270,311,147.23/65,093.16
  6. Step 6: Final answer
    x = 50,240.47

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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.