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Finding the Fourth Proportional to 65,734.50, 90,713.61 and 35,926.50

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Solution

The fourth proportional to 65,734.50, 90,713.61 and 35,926.50 is: 49,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734.50 : 90,713.61 = 35,926.50 : x
  2. Step 2: Convert to fraction form
    65,734.50/90,713.61 = 35,926.50/x
  3. Step 3: Cross multiply
    65,734.50x = 90,713.61 × 35,926.50
  4. Step 4: Simplify right side
    65,734.50x = 3,259,022,509.67
  5. Step 5: Solve for x
    x = 3,259,022,509.67/65,734.50
  6. Step 6: Final answer
    x = 49,578.57

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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.