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Finding the Fourth Proportional to 53,742, 80,218.56 and 49,783.56

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Solution

The fourth proportional to 53,742, 80,218.56 and 49,783.56 is: 74,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742 : 80,218.56 = 49,783.56 : x
  2. Step 2: Convert to fraction form
    53,742/80,218.56 = 49,783.56/x
  3. Step 3: Cross multiply
    53,742x = 80,218.56 × 49,783.56
  4. Step 4: Simplify right side
    53,742x = 3,993,565,494.87
  5. Step 5: Solve for x
    x = 3,993,565,494.87/53,742
  6. Step 6: Final answer
    x = 74,309.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.