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Finding the Fourth Proportional to 50,483.96, 69,679.74 and 31,378.16

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Solution

The fourth proportional to 50,483.96, 69,679.74 and 31,378.16 is: 43,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,483.96 : 69,679.74 = 31,378.16 : x
  2. Step 2: Convert to fraction form
    50,483.96/69,679.74 = 31,378.16/x
  3. Step 3: Cross multiply
    50,483.96x = 69,679.74 × 31,378.16
  4. Step 4: Simplify right side
    50,483.96x = 2,186,422,155.58
  5. Step 5: Solve for x
    x = 2,186,422,155.58/50,483.96
  6. Step 6: Final answer
    x = 43,309.25

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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.