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Finding the Fourth Proportional to 30,909.93, 46,364.88 and 11,183.88

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Solution

The fourth proportional to 30,909.93, 46,364.88 and 11,183.88 is: 16,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.93 : 46,364.88 = 11,183.88 : x
  2. Step 2: Convert to fraction form
    30,909.93/46,364.88 = 11,183.88/x
  3. Step 3: Cross multiply
    30,909.93x = 46,364.88 × 11,183.88
  4. Step 4: Simplify right side
    30,909.93x = 518,539,254.13
  5. Step 5: Solve for x
    x = 518,539,254.13/30,909.93
  6. Step 6: Final answer
    x = 16,775.81

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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.