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Finding the Fourth Proportional to 65,889.25, 98,730.39 and 50,933

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Solution

The fourth proportional to 65,889.25, 98,730.39 and 50,933 is: 76,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,889.25 : 98,730.39 = 50,933 : x
  2. Step 2: Convert to fraction form
    65,889.25/98,730.39 = 50,933/x
  3. Step 3: Cross multiply
    65,889.25x = 98,730.39 × 50,933
  4. Step 4: Simplify right side
    65,889.25x = 5,028,634,953.87
  5. Step 5: Solve for x
    x = 5,028,634,953.87/65,889.25
  6. Step 6: Final answer
    x = 76,319.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.