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Finding the Fourth Proportional to 51,980.54, 71,732.93 and 28,107.20

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Solution

The fourth proportional to 51,980.54, 71,732.93 and 28,107.20 is: 38,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.54 : 71,732.93 = 28,107.20 : x
  2. Step 2: Convert to fraction form
    51,980.54/71,732.93 = 28,107.20/x
  3. Step 3: Cross multiply
    51,980.54x = 71,732.93 × 28,107.20
  4. Step 4: Simplify right side
    51,980.54x = 2,016,211,848.89
  5. Step 5: Solve for x
    x = 2,016,211,848.89/51,980.54
  6. Step 6: Final answer
    x = 38,787.82

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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.