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Finding the Fourth Proportional to 74,242.50, 111,310.86 and 34,778.07

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Solution

The fourth proportional to 74,242.50, 111,310.86 and 34,778.07 is: 52,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,242.50 : 111,310.86 = 34,778.07 : x
  2. Step 2: Convert to fraction form
    74,242.50/111,310.86 = 34,778.07/x
  3. Step 3: Cross multiply
    74,242.50x = 111,310.86 × 34,778.07
  4. Step 4: Simplify right side
    74,242.50x = 3,871,176,880.84
  5. Step 5: Solve for x
    x = 3,871,176,880.84/74,242.50
  6. Step 6: Final answer
    x = 52,142.33

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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.