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Finding the Fourth Proportional to 65,227.44, 97,820.68 and 27,787.12

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Solution

The fourth proportional to 65,227.44, 97,820.68 and 27,787.12 is: 41,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,227.44 : 97,820.68 = 27,787.12 : x
  2. Step 2: Convert to fraction form
    65,227.44/97,820.68 = 27,787.12/x
  3. Step 3: Cross multiply
    65,227.44x = 97,820.68 × 27,787.12
  4. Step 4: Simplify right side
    65,227.44x = 2,718,154,973.64
  5. Step 5: Solve for x
    x = 2,718,154,973.64/65,227.44
  6. Step 6: Final answer
    x = 41,671.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.