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Finding the Fourth Proportional to 30,827.87, 46,230.86 and 11,101.13

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Solution

The fourth proportional to 30,827.87, 46,230.86 and 11,101.13 is: 16,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.87 : 46,230.86 = 11,101.13 : x
  2. Step 2: Convert to fraction form
    30,827.87/46,230.86 = 11,101.13/x
  3. Step 3: Cross multiply
    30,827.87x = 46,230.86 × 11,101.13
  4. Step 4: Simplify right side
    30,827.87x = 513,214,500.21
  5. Step 5: Solve for x
    x = 513,214,500.21/30,827.87
  6. Step 6: Final answer
    x = 16,647.75

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1.5x scale

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.