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Finding the Fourth Proportional to 50,564.46, 75,848.46 and 18,971.31

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Solution

The fourth proportional to 50,564.46, 75,848.46 and 18,971.31 is: 28,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.46 : 75,848.46 = 18,971.31 : x
  2. Step 2: Convert to fraction form
    50,564.46/75,848.46 = 18,971.31/x
  3. Step 3: Cross multiply
    50,564.46x = 75,848.46 × 18,971.31
  4. Step 4: Simplify right side
    50,564.46x = 1,438,944,647.68
  5. Step 5: Solve for x
    x = 1,438,944,647.68/50,564.46
  6. Step 6: Final answer
    x = 28,457.63

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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.