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Finding the Fourth Proportional to 36,041.54, 54,065.04 and 9,745.90

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Solution

The fourth proportional to 36,041.54, 54,065.04 and 9,745.90 is: 14,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,041.54 : 54,065.04 = 9,745.90 : x
  2. Step 2: Convert to fraction form
    36,041.54/54,065.04 = 9,745.90/x
  3. Step 3: Cross multiply
    36,041.54x = 54,065.04 × 9,745.90
  4. Step 4: Simplify right side
    36,041.54x = 526,912,473.34
  5. Step 5: Solve for x
    x = 526,912,473.34/36,041.54
  6. Step 6: Final answer
    x = 14,619.59

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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.