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Finding the Fourth Proportional to 65,207.78, 97,848 and 35,221.41

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Solution

The fourth proportional to 65,207.78, 97,848 and 35,221.41 is: 52,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.78 : 97,848 = 35,221.41 : x
  2. Step 2: Convert to fraction form
    65,207.78/97,848 = 35,221.41/x
  3. Step 3: Cross multiply
    65,207.78x = 97,848 × 35,221.41
  4. Step 4: Simplify right side
    65,207.78x = 3,446,344,525.68
  5. Step 5: Solve for x
    x = 3,446,344,525.68/65,207.78
  6. Step 6: Final answer
    x = 52,851.74

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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.