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Finding the Fourth Proportional to 31,094.44, 46,627.93 and 8,902.78

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Solution

The fourth proportional to 31,094.44, 46,627.93 and 8,902.78 is: 13,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.44 : 46,627.93 = 8,902.78 : x
  2. Step 2: Convert to fraction form
    31,094.44/46,627.93 = 8,902.78/x
  3. Step 3: Cross multiply
    31,094.44x = 46,627.93 × 8,902.78
  4. Step 4: Simplify right side
    31,094.44x = 415,118,202.65
  5. Step 5: Solve for x
    x = 415,118,202.65/31,094.44
  6. Step 6: Final answer
    x = 13,350.24

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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.