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Finding the Fourth Proportional to 54,854.82, 82,246.74 and 36,078.01

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Solution

The fourth proportional to 54,854.82, 82,246.74 and 36,078.01 is: 54,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,854.82 : 82,246.74 = 36,078.01 : x
  2. Step 2: Convert to fraction form
    54,854.82/82,246.74 = 36,078.01/x
  3. Step 3: Cross multiply
    54,854.82x = 82,246.74 × 36,078.01
  4. Step 4: Simplify right side
    54,854.82x = 2,967,298,570.22
  5. Step 5: Solve for x
    x = 2,967,298,570.22/54,854.82
  6. Step 6: Final answer
    x = 54,093.67

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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.