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Finding the Fourth Proportional to 51,980.74, 71,733.27 and 28,107.34

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Solution

The fourth proportional to 51,980.74, 71,733.27 and 28,107.34 is: 38,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.74 : 71,733.27 = 28,107.34 : x
  2. Step 2: Convert to fraction form
    51,980.74/71,733.27 = 28,107.34/x
  3. Step 3: Cross multiply
    51,980.74x = 71,733.27 × 28,107.34
  4. Step 4: Simplify right side
    51,980.74x = 2,016,231,409.20
  5. Step 5: Solve for x
    x = 2,016,231,409.20/51,980.74
  6. Step 6: Final answer
    x = 38,788.05

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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.