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Finding the Fourth Proportional to 37,838.50, 52,220.81 and 28,261.75

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Solution

The fourth proportional to 37,838.50, 52,220.81 and 28,261.75 is: 39,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.50 : 52,220.81 = 28,261.75 : x
  2. Step 2: Convert to fraction form
    37,838.50/52,220.81 = 28,261.75/x
  3. Step 3: Cross multiply
    37,838.50x = 52,220.81 × 28,261.75
  4. Step 4: Simplify right side
    37,838.50x = 1,475,851,477.02
  5. Step 5: Solve for x
    x = 1,475,851,477.02/37,838.50
  6. Step 6: Final answer
    x = 39,003.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.