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Finding the Fourth Proportional to 107,035.73, 160,572.15 and 35,965.30

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Solution

The fourth proportional to 107,035.73, 160,572.15 and 35,965.30 is: 53,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,035.73 : 160,572.15 = 35,965.30 : x
  2. Step 2: Convert to fraction form
    107,035.73/160,572.15 = 35,965.30/x
  3. Step 3: Cross multiply
    107,035.73x = 160,572.15 × 35,965.30
  4. Step 4: Simplify right side
    107,035.73x = 5,775,025,457.34
  5. Step 5: Solve for x
    x = 5,775,025,457.34/107,035.73
  6. Step 6: Final answer
    x = 53,954.18

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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.