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Finding the Fourth Proportional to 50,412.43, 75,665.42 and 25,470

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Solution

The fourth proportional to 50,412.43, 75,665.42 and 25,470 is: 38,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,412.43 : 75,665.42 = 25,470 : x
  2. Step 2: Convert to fraction form
    50,412.43/75,665.42 = 25,470/x
  3. Step 3: Cross multiply
    50,412.43x = 75,665.42 × 25,470
  4. Step 4: Simplify right side
    50,412.43x = 1,927,198,358.83
  5. Step 5: Solve for x
    x = 1,927,198,358.83/50,412.43
  6. Step 6: Final answer
    x = 38,228.63

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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.