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Finding the Fourth Proportional to 105,424.48, 158,155.92 and 50,020

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Solution

The fourth proportional to 105,424.48, 158,155.92 and 50,020 is: 75,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.48 : 158,155.92 = 50,020 : x
  2. Step 2: Convert to fraction form
    105,424.48/158,155.92 = 50,020/x
  3. Step 3: Cross multiply
    105,424.48x = 158,155.92 × 50,020
  4. Step 4: Simplify right side
    105,424.48x = 7,910,959,118.40
  5. Step 5: Solve for x
    x = 7,910,959,118.40/105,424.48
  6. Step 6: Final answer
    x = 75,039.11

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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.