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Finding the Fourth Proportional to 30,433.56, 41,998.40 and 17,005.32

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Solution

The fourth proportional to 30,433.56, 41,998.40 and 17,005.32 is: 23,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.56 : 41,998.40 = 17,005.32 : x
  2. Step 2: Convert to fraction form
    30,433.56/41,998.40 = 17,005.32/x
  3. Step 3: Cross multiply
    30,433.56x = 41,998.40 × 17,005.32
  4. Step 4: Simplify right side
    30,433.56x = 714,196,231.49
  5. Step 5: Solve for x
    x = 714,196,231.49/30,433.56
  6. Step 6: Final answer
    x = 23,467.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.