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Finding the Fourth Proportional to 50,906.30, 76,359.45 and 13,970.30

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Solution

The fourth proportional to 50,906.30, 76,359.45 and 13,970.30 is: 20,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906.30 : 76,359.45 = 13,970.30 : x
  2. Step 2: Convert to fraction form
    50,906.30/76,359.45 = 13,970.30/x
  3. Step 3: Cross multiply
    50,906.30x = 76,359.45 × 13,970.30
  4. Step 4: Simplify right side
    50,906.30x = 1,066,764,424.34
  5. Step 5: Solve for x
    x = 1,066,764,424.34/50,906.30
  6. Step 6: Final answer
    x = 20,955.45

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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.