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Finding the Fourth Proportional to 31,093.94, 46,627.18 and 8,902.28

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Solution

The fourth proportional to 31,093.94, 46,627.18 and 8,902.28 is: 13,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.94 : 46,627.18 = 8,902.28 : x
  2. Step 2: Convert to fraction form
    31,093.94/46,627.18 = 8,902.28/x
  3. Step 3: Cross multiply
    31,093.94x = 46,627.18 × 8,902.28
  4. Step 4: Simplify right side
    31,093.94x = 415,088,211.97
  5. Step 5: Solve for x
    x = 415,088,211.97/31,093.94
  6. Step 6: Final answer
    x = 13,349.49

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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.