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Finding the Fourth Proportional to 30,978.64, 46,467.15 and 11,257.57

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Solution

The fourth proportional to 30,978.64, 46,467.15 and 11,257.57 is: 16,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.64 : 46,467.15 = 11,257.57 : x
  2. Step 2: Convert to fraction form
    30,978.64/46,467.15 = 11,257.57/x
  3. Step 3: Cross multiply
    30,978.64x = 46,467.15 × 11,257.57
  4. Step 4: Simplify right side
    30,978.64x = 523,107,193.83
  5. Step 5: Solve for x
    x = 523,107,193.83/30,978.64
  6. Step 6: Final answer
    x = 16,886.06

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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.