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Finding the Fourth Proportional to 65,001, 89,701.38 and 35,193

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Solution

The fourth proportional to 65,001, 89,701.38 and 35,193 is: 48,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001 : 89,701.38 = 35,193 : x
  2. Step 2: Convert to fraction form
    65,001/89,701.38 = 35,193/x
  3. Step 3: Cross multiply
    65,001x = 89,701.38 × 35,193
  4. Step 4: Simplify right side
    65,001x = 3,156,860,666.34
  5. Step 5: Solve for x
    x = 3,156,860,666.34/65,001
  6. Step 6: Final answer
    x = 48,566.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.