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Finding the Fourth Proportional to 65,209.68, 97,796.16 and 25,219.44

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Solution

The fourth proportional to 65,209.68, 97,796.16 and 25,219.44 is: 37,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.68 : 97,796.16 = 25,219.44 : x
  2. Step 2: Convert to fraction form
    65,209.68/97,796.16 = 25,219.44/x
  3. Step 3: Cross multiply
    65,209.68x = 97,796.16 × 25,219.44
  4. Step 4: Simplify right side
    65,209.68x = 2,466,364,389.35
  5. Step 5: Solve for x
    x = 2,466,364,389.35/65,209.68
  6. Step 6: Final answer
    x = 37,822.06

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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.