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Finding the Fourth Proportional to 30,635.88, 45,946.22 and 8,448.28

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Solution

The fourth proportional to 30,635.88, 45,946.22 and 8,448.28 is: 12,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.88 : 45,946.22 = 8,448.28 : x
  2. Step 2: Convert to fraction form
    30,635.88/45,946.22 = 8,448.28/x
  3. Step 3: Cross multiply
    30,635.88x = 45,946.22 × 8,448.28
  4. Step 4: Simplify right side
    30,635.88x = 388,166,531.50
  5. Step 5: Solve for x
    x = 388,166,531.50/30,635.88
  6. Step 6: Final answer
    x = 12,670.32

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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.