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Finding the Fourth Proportional to 30,860.94, 46,281.86 and 11,137

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Solution

The fourth proportional to 30,860.94, 46,281.86 and 11,137 is: 16,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,860.94 : 46,281.86 = 11,137 : x
  2. Step 2: Convert to fraction form
    30,860.94/46,281.86 = 11,137/x
  3. Step 3: Cross multiply
    30,860.94x = 46,281.86 × 11,137
  4. Step 4: Simplify right side
    30,860.94x = 515,441,074.82
  5. Step 5: Solve for x
    x = 515,441,074.82/30,860.94
  6. Step 6: Final answer
    x = 16,702.05

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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.