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Finding the Fourth Proportional to 64,820.70, 97,231.05 and 38,139.30

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Solution

The fourth proportional to 64,820.70, 97,231.05 and 38,139.30 is: 57,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,820.70 : 97,231.05 = 38,139.30 : x
  2. Step 2: Convert to fraction form
    64,820.70/97,231.05 = 38,139.30/x
  3. Step 3: Cross multiply
    64,820.70x = 97,231.05 × 38,139.30
  4. Step 4: Simplify right side
    64,820.70x = 3,708,324,185.27
  5. Step 5: Solve for x
    x = 3,708,324,185.27/64,820.70
  6. Step 6: Final answer
    x = 57,208.95

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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.