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Finding the Fourth Proportional to 105,958.31, 158,838.64 and 35,788.55

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Solution

The fourth proportional to 105,958.31, 158,838.64 and 35,788.55 is: 53,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,958.31 : 158,838.64 = 35,788.55 : x
  2. Step 2: Convert to fraction form
    105,958.31/158,838.64 = 35,788.55/x
  3. Step 3: Cross multiply
    105,958.31x = 158,838.64 × 35,788.55
  4. Step 4: Simplify right side
    105,958.31x = 5,684,604,609.57
  5. Step 5: Solve for x
    x = 5,684,604,609.57/105,958.31
  6. Step 6: Final answer
    x = 53,649.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.