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Finding the Fourth Proportional to 55,238.98, 82,894.79 and 30,296.53

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Solution

The fourth proportional to 55,238.98, 82,894.79 and 30,296.53 is: 45,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,238.98 : 82,894.79 = 30,296.53 : x
  2. Step 2: Convert to fraction form
    55,238.98/82,894.79 = 30,296.53/x
  3. Step 3: Cross multiply
    55,238.98x = 82,894.79 × 30,296.53
  4. Step 4: Simplify right side
    55,238.98x = 2,511,424,492.08
  5. Step 5: Solve for x
    x = 2,511,424,492.08/55,238.98
  6. Step 6: Final answer
    x = 45,464.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.