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Finding the Fourth Proportional to 51,977.16, 71,728.44 and 28,103.82

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Solution

The fourth proportional to 51,977.16, 71,728.44 and 28,103.82 is: 38,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977.16 : 71,728.44 = 28,103.82 : x
  2. Step 2: Convert to fraction form
    51,977.16/71,728.44 = 28,103.82/x
  3. Step 3: Cross multiply
    51,977.16x = 71,728.44 × 28,103.82
  4. Step 4: Simplify right side
    51,977.16x = 2,015,843,166.64
  5. Step 5: Solve for x
    x = 2,015,843,166.64/51,977.16
  6. Step 6: Final answer
    x = 38,783.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.