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Finding the Fourth Proportional to 65,534.78, 98,303.25 and 18,787.66

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Solution

The fourth proportional to 65,534.78, 98,303.25 and 18,787.66 is: 28,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,534.78 : 98,303.25 = 18,787.66 : x
  2. Step 2: Convert to fraction form
    65,534.78/98,303.25 = 18,787.66/x
  3. Step 3: Cross multiply
    65,534.78x = 98,303.25 × 18,787.66
  4. Step 4: Simplify right side
    65,534.78x = 1,846,888,037.90
  5. Step 5: Solve for x
    x = 1,846,888,037.90/65,534.78
  6. Step 6: Final answer
    x = 28,181.80

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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.