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Finding the Fourth Proportional to 55,742, 76,924.08 and 30,591.44

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Solution

The fourth proportional to 55,742, 76,924.08 and 30,591.44 is: 42,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742 : 76,924.08 = 30,591.44 : x
  2. Step 2: Convert to fraction form
    55,742/76,924.08 = 30,591.44/x
  3. Step 3: Cross multiply
    55,742x = 76,924.08 × 30,591.44
  4. Step 4: Simplify right side
    55,742x = 2,353,218,377.88
  5. Step 5: Solve for x
    x = 2,353,218,377.88/55,742
  6. Step 6: Final answer
    x = 42,216.25

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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.