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Finding the Fourth Proportional to 50,678.32, 69,914.10 and 29,163.46

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Solution

The fourth proportional to 50,678.32, 69,914.10 and 29,163.46 is: 40,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,678.32 : 69,914.10 = 29,163.46 : x
  2. Step 2: Convert to fraction form
    50,678.32/69,914.10 = 29,163.46/x
  3. Step 3: Cross multiply
    50,678.32x = 69,914.10 × 29,163.46
  4. Step 4: Simplify right side
    50,678.32x = 2,038,937,058.79
  5. Step 5: Solve for x
    x = 2,038,937,058.79/50,678.32
  6. Step 6: Final answer
    x = 40,232.93

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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.