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Finding the Fourth Proportional to 30,823.86, 46,224.85 and 11,097.12

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Solution

The fourth proportional to 30,823.86, 46,224.85 and 11,097.12 is: 16,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.86 : 46,224.85 = 11,097.12 : x
  2. Step 2: Convert to fraction form
    30,823.86/46,224.85 = 11,097.12/x
  3. Step 3: Cross multiply
    30,823.86x = 46,224.85 × 11,097.12
  4. Step 4: Simplify right side
    30,823.86x = 512,962,707.43
  5. Step 5: Solve for x
    x = 512,962,707.43/30,823.86
  6. Step 6: Final answer
    x = 16,641.74

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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.