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Finding the Fourth Proportional to 65,181.24, 89,939.16 and 37,963.08

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Solution

The fourth proportional to 65,181.24, 89,939.16 and 37,963.08 is: 52,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,181.24 : 89,939.16 = 37,963.08 : x
  2. Step 2: Convert to fraction form
    65,181.24/89,939.16 = 37,963.08/x
  3. Step 3: Cross multiply
    65,181.24x = 89,939.16 × 37,963.08
  4. Step 4: Simplify right side
    65,181.24x = 3,414,367,526.21
  5. Step 5: Solve for x
    x = 3,414,367,526.21/65,181.24
  6. Step 6: Final answer
    x = 52,382.67

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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.