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Finding the Fourth Proportional to 50,562, 75,842.73 and 13,122

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Solution

The fourth proportional to 50,562, 75,842.73 and 13,122 is: 19,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,562 : 75,842.73 = 13,122 : x
  2. Step 2: Convert to fraction form
    50,562/75,842.73 = 13,122/x
  3. Step 3: Cross multiply
    50,562x = 75,842.73 × 13,122
  4. Step 4: Simplify right side
    50,562x = 995,208,303.06
  5. Step 5: Solve for x
    x = 995,208,303.06/50,562
  6. Step 6: Final answer
    x = 19,682.93

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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.