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Finding the Fourth Proportional to 31,094.19, 46,627.56 and 8,902.53

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Solution

The fourth proportional to 31,094.19, 46,627.56 and 8,902.53 is: 13,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.19 : 46,627.56 = 8,902.53 : x
  2. Step 2: Convert to fraction form
    31,094.19/46,627.56 = 8,902.53/x
  3. Step 3: Cross multiply
    31,094.19x = 46,627.56 × 8,902.53
  4. Step 4: Simplify right side
    31,094.19x = 415,103,251.73
  5. Step 5: Solve for x
    x = 415,103,251.73/31,094.19
  6. Step 6: Final answer
    x = 13,349.87

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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.