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Finding the Fourth Proportional to 65,207.86, 97,826.46 and 35,221.48

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Solution

The fourth proportional to 65,207.86, 97,826.46 and 35,221.48 is: 52,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.86 : 97,826.46 = 35,221.48 : x
  2. Step 2: Convert to fraction form
    65,207.86/97,826.46 = 35,221.48/x
  3. Step 3: Cross multiply
    65,207.86x = 97,826.46 × 35,221.48
  4. Step 4: Simplify right side
    65,207.86x = 3,445,592,704.36
  5. Step 5: Solve for x
    x = 3,445,592,704.36/65,207.86
  6. Step 6: Final answer
    x = 52,840.14

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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.