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Finding the Fourth Proportional to 65,034.78, 97,485.21 and 25,575.90

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Solution

The fourth proportional to 65,034.78, 97,485.21 and 25,575.90 is: 38,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034.78 : 97,485.21 = 25,575.90 : x
  2. Step 2: Convert to fraction form
    65,034.78/97,485.21 = 25,575.90/x
  3. Step 3: Cross multiply
    65,034.78x = 97,485.21 × 25,575.90
  4. Step 4: Simplify right side
    65,034.78x = 2,493,271,982.44
  5. Step 5: Solve for x
    x = 2,493,271,982.44/65,034.78
  6. Step 6: Final answer
    x = 38,337.52

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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.