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Finding the Fourth Proportional to 30,717.72, 46,076.60 and 8,531.10

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Solution

The fourth proportional to 30,717.72, 46,076.60 and 8,531.10 is: 12,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,717.72 : 46,076.60 = 8,531.10 : x
  2. Step 2: Convert to fraction form
    30,717.72/46,076.60 = 8,531.10/x
  3. Step 3: Cross multiply
    30,717.72x = 46,076.60 × 8,531.10
  4. Step 4: Simplify right side
    30,717.72x = 393,084,039.60
  5. Step 5: Solve for x
    x = 393,084,039.60/30,717.72
  6. Step 6: Final answer
    x = 12,796.65

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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.