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Finding the Fourth Proportional to 27,931.41, 41,902.99 and 8,208.32

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Solution

The fourth proportional to 27,931.41, 41,902.99 and 8,208.32 is: 12,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.41 : 41,902.99 = 8,208.32 : x
  2. Step 2: Convert to fraction form
    27,931.41/41,902.99 = 8,208.32/x
  3. Step 3: Cross multiply
    27,931.41x = 41,902.99 × 8,208.32
  4. Step 4: Simplify right side
    27,931.41x = 343,952,920.84
  5. Step 5: Solve for x
    x = 343,952,920.84/27,931.41
  6. Step 6: Final answer
    x = 12,314.20

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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.