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Finding the Fourth Proportional to 50,657.24, 75,979.02 and 13,219.94

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Solution

The fourth proportional to 50,657.24, 75,979.02 and 13,219.94 is: 19,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,657.24 : 75,979.02 = 13,219.94 : x
  2. Step 2: Convert to fraction form
    50,657.24/75,979.02 = 13,219.94/x
  3. Step 3: Cross multiply
    50,657.24x = 75,979.02 × 13,219.94
  4. Step 4: Simplify right side
    50,657.24x = 1,004,438,085.66
  5. Step 5: Solve for x
    x = 1,004,438,085.66/50,657.24
  6. Step 6: Final answer
    x = 19,828.12

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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.