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Finding the Fourth Proportional to 30,830.88, 46,171.80 and 17,643.28

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Solution

The fourth proportional to 30,830.88, 46,171.80 and 17,643.28 is: 26,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.88 : 46,171.80 = 17,643.28 : x
  2. Step 2: Convert to fraction form
    30,830.88/46,171.80 = 17,643.28/x
  3. Step 3: Cross multiply
    30,830.88x = 46,171.80 × 17,643.28
  4. Step 4: Simplify right side
    30,830.88x = 814,621,995.50
  5. Step 5: Solve for x
    x = 814,621,995.50/30,830.88
  6. Step 6: Final answer
    x = 26,422.28

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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.