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Finding the Fourth Proportional to 50,213.80, 75,323.58 and 15,157

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Solution

The fourth proportional to 50,213.80, 75,323.58 and 15,157 is: 22,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,213.80 : 75,323.58 = 15,157 : x
  2. Step 2: Convert to fraction form
    50,213.80/75,323.58 = 15,157/x
  3. Step 3: Cross multiply
    50,213.80x = 75,323.58 × 15,157
  4. Step 4: Simplify right side
    50,213.80x = 1,141,679,502.06
  5. Step 5: Solve for x
    x = 1,141,679,502.06/50,213.80
  6. Step 6: Final answer
    x = 22,736.37

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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.