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Finding the Fourth Proportional to 50,971.68, 76,462.38 and 19,809.36

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Solution

The fourth proportional to 50,971.68, 76,462.38 and 19,809.36 is: 29,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,971.68 : 76,462.38 = 19,809.36 : x
  2. Step 2: Convert to fraction form
    50,971.68/76,462.38 = 19,809.36/x
  3. Step 3: Cross multiply
    50,971.68x = 76,462.38 × 19,809.36
  4. Step 4: Simplify right side
    50,971.68x = 1,514,670,811.88
  5. Step 5: Solve for x
    x = 1,514,670,811.88/50,971.68
  6. Step 6: Final answer
    x = 29,715.93

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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.