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Finding the Fourth Proportional to 30,443.22, 42,011.38 and 17,014.32

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Solution

The fourth proportional to 30,443.22, 42,011.38 and 17,014.32 is: 23,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.22 : 42,011.38 = 17,014.32 : x
  2. Step 2: Convert to fraction form
    30,443.22/42,011.38 = 17,014.32/x
  3. Step 3: Cross multiply
    30,443.22x = 42,011.38 × 17,014.32
  4. Step 4: Simplify right side
    30,443.22x = 714,795,062.96
  5. Step 5: Solve for x
    x = 714,795,062.96/30,443.22
  6. Step 6: Final answer
    x = 23,479.61

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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.