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Finding the Fourth Proportional to 107,965.70, 161,910.15 and 48,829.70

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Solution

The fourth proportional to 107,965.70, 161,910.15 and 48,829.70 is: 73,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,965.70 : 161,910.15 = 48,829.70 : x
  2. Step 2: Convert to fraction form
    107,965.70/161,910.15 = 48,829.70/x
  3. Step 3: Cross multiply
    107,965.70x = 161,910.15 × 48,829.70
  4. Step 4: Simplify right side
    107,965.70x = 7,906,024,051.46
  5. Step 5: Solve for x
    x = 7,906,024,051.46/107,965.70
  6. Step 6: Final answer
    x = 73,227.18

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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.