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Finding the Fourth Proportional to 51,181.92, 76,773.51 and 15,643.98

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Solution

The fourth proportional to 51,181.92, 76,773.51 and 15,643.98 is: 23,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,181.92 : 76,773.51 = 15,643.98 : x
  2. Step 2: Convert to fraction form
    51,181.92/76,773.51 = 15,643.98/x
  3. Step 3: Cross multiply
    51,181.92x = 76,773.51 × 15,643.98
  4. Step 4: Simplify right side
    51,181.92x = 1,201,043,254.97
  5. Step 5: Solve for x
    x = 1,201,043,254.97/51,181.92
  6. Step 6: Final answer
    x = 23,466.16

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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.