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Finding the Fourth Proportional to 50,924.31, 70,284 and 29,703.57

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Solution

The fourth proportional to 50,924.31, 70,284 and 29,703.57 is: 40,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,924.31 : 70,284 = 29,703.57 : x
  2. Step 2: Convert to fraction form
    50,924.31/70,284 = 29,703.57/x
  3. Step 3: Cross multiply
    50,924.31x = 70,284 × 29,703.57
  4. Step 4: Simplify right side
    50,924.31x = 2,087,685,713.88
  5. Step 5: Solve for x
    x = 2,087,685,713.88/50,924.31
  6. Step 6: Final answer
    x = 40,995.86

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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.