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Finding the Fourth Proportional to 51,966.48, 71,713.80 and 28,093.16

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Solution

The fourth proportional to 51,966.48, 71,713.80 and 28,093.16 is: 38,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966.48 : 71,713.80 = 28,093.16 : x
  2. Step 2: Convert to fraction form
    51,966.48/71,713.80 = 28,093.16/x
  3. Step 3: Cross multiply
    51,966.48x = 71,713.80 × 28,093.16
  4. Step 4: Simplify right side
    51,966.48x = 2,014,667,257.61
  5. Step 5: Solve for x
    x = 2,014,667,257.61/51,966.48
  6. Step 6: Final answer
    x = 38,768.59

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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.