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Finding the Fourth Proportional to 75,200.94, 103,738.48 and 50,993.72

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Solution

The fourth proportional to 75,200.94, 103,738.48 and 50,993.72 is: 70,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.94 : 103,738.48 = 50,993.72 : x
  2. Step 2: Convert to fraction form
    75,200.94/103,738.48 = 50,993.72/x
  3. Step 3: Cross multiply
    75,200.94x = 103,738.48 × 50,993.72
  4. Step 4: Simplify right side
    75,200.94x = 5,290,010,615.52
  5. Step 5: Solve for x
    x = 5,290,010,615.52/75,200.94
  6. Step 6: Final answer
    x = 70,345.01

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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.