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Finding the Fourth Proportional to 50,754, 70,071.24 and 33,120.72

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Solution

The fourth proportional to 50,754, 70,071.24 and 33,120.72 is: 45,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,754 : 70,071.24 = 33,120.72 : x
  2. Step 2: Convert to fraction form
    50,754/70,071.24 = 33,120.72/x
  3. Step 3: Cross multiply
    50,754x = 70,071.24 × 33,120.72
  4. Step 4: Simplify right side
    50,754x = 2,320,809,920.09
  5. Step 5: Solve for x
    x = 2,320,809,920.09/50,754
  6. Step 6: Final answer
    x = 45,726.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.