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Finding the Fourth Proportional to 30,647.80, 42,292.38 and 17,219.64

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Solution

The fourth proportional to 30,647.80, 42,292.38 and 17,219.64 is: 23,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.80 : 42,292.38 = 17,219.64 : x
  2. Step 2: Convert to fraction form
    30,647.80/42,292.38 = 17,219.64/x
  3. Step 3: Cross multiply
    30,647.80x = 42,292.38 × 17,219.64
  4. Step 4: Simplify right side
    30,647.80x = 728,259,558.34
  5. Step 5: Solve for x
    x = 728,259,558.34/30,647.80
  6. Step 6: Final answer
    x = 23,762.21

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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.