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Finding the Fourth Proportional to 30,170.16, 45,256.32 and 7,984.32

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Solution

The fourth proportional to 30,170.16, 45,256.32 and 7,984.32 is: 11,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170.16 : 45,256.32 = 7,984.32 : x
  2. Step 2: Convert to fraction form
    30,170.16/45,256.32 = 7,984.32/x
  3. Step 3: Cross multiply
    30,170.16x = 45,256.32 × 7,984.32
  4. Step 4: Simplify right side
    30,170.16x = 361,340,940.90
  5. Step 5: Solve for x
    x = 361,340,940.90/30,170.16
  6. Step 6: Final answer
    x = 11,976.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.