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Finding the Fourth Proportional to 65,085.68, 97,517.04 and 35,524.26

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Solution

The fourth proportional to 65,085.68, 97,517.04 and 35,524.26 is: 53,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,085.68 : 97,517.04 = 35,524.26 : x
  2. Step 2: Convert to fraction form
    65,085.68/97,517.04 = 35,524.26/x
  3. Step 3: Cross multiply
    65,085.68x = 97,517.04 × 35,524.26
  4. Step 4: Simplify right side
    65,085.68x = 3,464,220,683.39
  5. Step 5: Solve for x
    x = 3,464,220,683.39/65,085.68
  6. Step 6: Final answer
    x = 53,225.54

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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.