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Finding the Fourth Proportional to 65,806.80, 98,596.80 and 30,674.40

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Solution

The fourth proportional to 65,806.80, 98,596.80 and 30,674.40 is: 45,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,806.80 : 98,596.80 = 30,674.40 : x
  2. Step 2: Convert to fraction form
    65,806.80/98,596.80 = 30,674.40/x
  3. Step 3: Cross multiply
    65,806.80x = 98,596.80 × 30,674.40
  4. Step 4: Simplify right side
    65,806.80x = 3,024,397,681.92
  5. Step 5: Solve for x
    x = 3,024,397,681.92/65,806.80
  6. Step 6: Final answer
    x = 45,958.74

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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.