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Finding the Fourth Proportional to 50,578.56, 69,776.64 and 31,712.08

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Solution

The fourth proportional to 50,578.56, 69,776.64 and 31,712.08 is: 43,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,578.56 : 69,776.64 = 31,712.08 : x
  2. Step 2: Convert to fraction form
    50,578.56/69,776.64 = 31,712.08/x
  3. Step 3: Cross multiply
    50,578.56x = 69,776.64 × 31,712.08
  4. Step 4: Simplify right side
    50,578.56x = 2,212,762,389.81
  5. Step 5: Solve for x
    x = 2,212,762,389.81/50,578.56
  6. Step 6: Final answer
    x = 43,749.02

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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.