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Finding the Fourth Proportional to 50,435, 75,645.69 and 20,848.73

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Solution

The fourth proportional to 50,435, 75,645.69 and 20,848.73 is: 31,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,435 : 75,645.69 = 20,848.73 : x
  2. Step 2: Convert to fraction form
    50,435/75,645.69 = 20,848.73/x
  3. Step 3: Cross multiply
    50,435x = 75,645.69 × 20,848.73
  4. Step 4: Simplify right side
    50,435x = 1,577,116,566.47
  5. Step 5: Solve for x
    x = 1,577,116,566.47/50,435
  6. Step 6: Final answer
    x = 31,270.28

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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.