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Finding the Fourth Proportional to 64,679.85, 97,019.80 and 29,099.61

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Solution

The fourth proportional to 64,679.85, 97,019.80 and 29,099.61 is: 43,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,679.85 : 97,019.80 = 29,099.61 : x
  2. Step 2: Convert to fraction form
    64,679.85/97,019.80 = 29,099.61/x
  3. Step 3: Cross multiply
    64,679.85x = 97,019.80 × 29,099.61
  4. Step 4: Simplify right side
    64,679.85x = 2,823,238,269.53
  5. Step 5: Solve for x
    x = 2,823,238,269.53/64,679.85
  6. Step 6: Final answer
    x = 43,649.43

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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.