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Finding the Fourth Proportional to 97,239.86, 145,885.72 and 34,910.90

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Solution

The fourth proportional to 97,239.86, 145,885.72 and 34,910.90 is: 52,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,239.86 : 145,885.72 = 34,910.90 : x
  2. Step 2: Convert to fraction form
    97,239.86/145,885.72 = 34,910.90/x
  3. Step 3: Cross multiply
    97,239.86x = 145,885.72 × 34,910.90
  4. Step 4: Simplify right side
    97,239.86x = 5,093,001,782.35
  5. Step 5: Solve for x
    x = 5,093,001,782.35/97,239.86
  6. Step 6: Final answer
    x = 52,375.66

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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.