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Finding the Fourth Proportional to 37,712.25, 52,038.99 and 21,801.78

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Solution

The fourth proportional to 37,712.25, 52,038.99 and 21,801.78 is: 30,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712.25 : 52,038.99 = 21,801.78 : x
  2. Step 2: Convert to fraction form
    37,712.25/52,038.99 = 21,801.78/x
  3. Step 3: Cross multiply
    37,712.25x = 52,038.99 × 21,801.78
  4. Step 4: Simplify right side
    37,712.25x = 1,134,542,611.40
  5. Step 5: Solve for x
    x = 1,134,542,611.40/37,712.25
  6. Step 6: Final answer
    x = 30,084.19

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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.