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Finding the Fourth Proportional to 105,767.50, 158,635.66 and 34,697.64

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Solution

The fourth proportional to 105,767.50, 158,635.66 and 34,697.64 is: 52,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,767.50 : 158,635.66 = 34,697.64 : x
  2. Step 2: Convert to fraction form
    105,767.50/158,635.66 = 34,697.64/x
  3. Step 3: Cross multiply
    105,767.50x = 158,635.66 × 34,697.64
  4. Step 4: Simplify right side
    105,767.50x = 5,504,283,021.84
  5. Step 5: Solve for x
    x = 5,504,283,021.84/105,767.50
  6. Step 6: Final answer
    x = 52,041.35

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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.