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Finding the Fourth Proportional to 33,263.31, 49,894.77 and 8,303.31

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Solution

The fourth proportional to 33,263.31, 49,894.77 and 8,303.31 is: 12,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,263.31 : 49,894.77 = 8,303.31 : x
  2. Step 2: Convert to fraction form
    33,263.31/49,894.77 = 8,303.31/x
  3. Step 3: Cross multiply
    33,263.31x = 49,894.77 × 8,303.31
  4. Step 4: Simplify right side
    33,263.31x = 414,291,742.69
  5. Step 5: Solve for x
    x = 414,291,742.69/33,263.31
  6. Step 6: Final answer
    x = 12,454.92

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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.