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Finding the Fourth Proportional to 65,309.87, 97,878.41 and 23,716.91

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Solution

The fourth proportional to 65,309.87, 97,878.41 and 23,716.91 is: 35,543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,309.87 : 97,878.41 = 23,716.91 : x
  2. Step 2: Convert to fraction form
    65,309.87/97,878.41 = 23,716.91/x
  3. Step 3: Cross multiply
    65,309.87x = 97,878.41 × 23,716.91
  4. Step 4: Simplify right side
    65,309.87x = 2,321,373,322.33
  5. Step 5: Solve for x
    x = 2,321,373,322.33/65,309.87
  6. Step 6: Final answer
    x = 35,543.99

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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.