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Finding the Fourth Proportional to 51,200.54, 70,657.06 and 28,540.97

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Solution

The fourth proportional to 51,200.54, 70,657.06 and 28,540.97 is: 39,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200.54 : 70,657.06 = 28,540.97 : x
  2. Step 2: Convert to fraction form
    51,200.54/70,657.06 = 28,540.97/x
  3. Step 3: Cross multiply
    51,200.54x = 70,657.06 × 28,540.97
  4. Step 4: Simplify right side
    51,200.54x = 2,016,621,029.75
  5. Step 5: Solve for x
    x = 2,016,621,029.75/51,200.54
  6. Step 6: Final answer
    x = 39,386.71

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