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Finding the Fourth Proportional to 50,133.69, 75,202.80 and 16,401.63

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Solution

The fourth proportional to 50,133.69, 75,202.80 and 16,401.63 is: 24,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,133.69 : 75,202.80 = 16,401.63 : x
  2. Step 2: Convert to fraction form
    50,133.69/75,202.80 = 16,401.63/x
  3. Step 3: Cross multiply
    50,133.69x = 75,202.80 × 16,401.63
  4. Step 4: Simplify right side
    50,133.69x = 1,233,448,721.07
  5. Step 5: Solve for x
    x = 1,233,448,721.07/50,133.69
  6. Step 6: Final answer
    x = 24,603.19

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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.