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Finding the Fourth Proportional to 37,854, 52,240.32 and 21,087

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Solution

The fourth proportional to 37,854, 52,240.32 and 21,087 is: 29,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854 : 52,240.32 = 21,087 : x
  2. Step 2: Convert to fraction form
    37,854/52,240.32 = 21,087/x
  3. Step 3: Cross multiply
    37,854x = 52,240.32 × 21,087
  4. Step 4: Simplify right side
    37,854x = 1,101,591,627.84
  5. Step 5: Solve for x
    x = 1,101,591,627.84/37,854
  6. Step 6: Final answer
    x = 29,101.06

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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.