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Finding the Fourth Proportional to 65,104.74, 89,847.09 and 38,247.01

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Solution

The fourth proportional to 65,104.74, 89,847.09 and 38,247.01 is: 52,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,104.74 : 89,847.09 = 38,247.01 : x
  2. Step 2: Convert to fraction form
    65,104.74/89,847.09 = 38,247.01/x
  3. Step 3: Cross multiply
    65,104.74x = 89,847.09 × 38,247.01
  4. Step 4: Simplify right side
    65,104.74x = 3,436,382,325.08
  5. Step 5: Solve for x
    x = 3,436,382,325.08/65,104.74
  6. Step 6: Final answer
    x = 52,782.37

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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.