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Finding the Fourth Proportional to 30,745.32, 46,122 and 11,026.08

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Solution

The fourth proportional to 30,745.32, 46,122 and 11,026.08 is: 16,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.32 : 46,122 = 11,026.08 : x
  2. Step 2: Convert to fraction form
    30,745.32/46,122 = 11,026.08/x
  3. Step 3: Cross multiply
    30,745.32x = 46,122 × 11,026.08
  4. Step 4: Simplify right side
    30,745.32x = 508,544,861.76
  5. Step 5: Solve for x
    x = 508,544,861.76/30,745.32
  6. Step 6: Final answer
    x = 16,540.56

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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.