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Finding the Fourth Proportional to 50,301.48, 75,463.38 and 19,137

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Solution

The fourth proportional to 50,301.48, 75,463.38 and 19,137 is: 28,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301.48 : 75,463.38 = 19,137 : x
  2. Step 2: Convert to fraction form
    50,301.48/75,463.38 = 19,137/x
  3. Step 3: Cross multiply
    50,301.48x = 75,463.38 × 19,137
  4. Step 4: Simplify right side
    50,301.48x = 1,444,142,703.06
  5. Step 5: Solve for x
    x = 1,444,142,703.06/50,301.48
  6. Step 6: Final answer
    x = 28,709.75

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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.