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Finding the Fourth Proportional to 50,643.06, 75,958.26 and 31,669.34

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Solution

The fourth proportional to 50,643.06, 75,958.26 and 31,669.34 is: 47,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.06 : 75,958.26 = 31,669.34 : x
  2. Step 2: Convert to fraction form
    50,643.06/75,958.26 = 31,669.34/x
  3. Step 3: Cross multiply
    50,643.06x = 75,958.26 × 31,669.34
  4. Step 4: Simplify right side
    50,643.06x = 2,405,547,961.75
  5. Step 5: Solve for x
    x = 2,405,547,961.75/50,643.06
  6. Step 6: Final answer
    x = 47,500.05

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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.