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Finding the Fourth Proportional to 65,722.26, 90,696.77 and 35,507.57

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Solution

The fourth proportional to 65,722.26, 90,696.77 and 35,507.57 is: 49,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,722.26 : 90,696.77 = 35,507.57 : x
  2. Step 2: Convert to fraction form
    65,722.26/90,696.77 = 35,507.57/x
  3. Step 3: Cross multiply
    65,722.26x = 90,696.77 × 35,507.57
  4. Step 4: Simplify right side
    65,722.26x = 3,220,421,909.55
  5. Step 5: Solve for x
    x = 3,220,421,909.55/65,722.26
  6. Step 6: Final answer
    x = 49,000.47

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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.