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Finding the Fourth Proportional to 38,509.25, 57,771.97 and 21,876.98

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Solution

The fourth proportional to 38,509.25, 57,771.97 and 21,876.98 is: 32,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.25 : 57,771.97 = 21,876.98 : x
  2. Step 2: Convert to fraction form
    38,509.25/57,771.97 = 21,876.98/x
  3. Step 3: Cross multiply
    38,509.25x = 57,771.97 × 21,876.98
  4. Step 4: Simplify right side
    38,509.25x = 1,263,875,943.39
  5. Step 5: Solve for x
    x = 1,263,875,943.39/38,509.25
  6. Step 6: Final answer
    x = 32,820.07

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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.