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Finding the Fourth Proportional to 51,980.48, 71,732.61 and 28,106.94

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Solution

The fourth proportional to 51,980.48, 71,732.61 and 28,106.94 is: 38,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.48 : 71,732.61 = 28,106.94 : x
  2. Step 2: Convert to fraction form
    51,980.48/71,732.61 = 28,106.94/x
  3. Step 3: Cross multiply
    51,980.48x = 71,732.61 × 28,106.94
  4. Step 4: Simplify right side
    51,980.48x = 2,016,184,165.31
  5. Step 5: Solve for x
    x = 2,016,184,165.31/51,980.48
  6. Step 6: Final answer
    x = 38,787.34

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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.