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Finding the Fourth Proportional to 65,754.32, 98,596.11 and 34,085.87

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Solution

The fourth proportional to 65,754.32, 98,596.11 and 34,085.87 is: 51,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754.32 : 98,596.11 = 34,085.87 : x
  2. Step 2: Convert to fraction form
    65,754.32/98,596.11 = 34,085.87/x
  3. Step 3: Cross multiply
    65,754.32x = 98,596.11 × 34,085.87
  4. Step 4: Simplify right side
    65,754.32x = 3,360,734,491.50
  5. Step 5: Solve for x
    x = 3,360,734,491.50/65,754.32
  6. Step 6: Final answer
    x = 51,110.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.