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Finding the Fourth Proportional to 30,029.28, 41,443.50 and 17,282.94

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Solution

The fourth proportional to 30,029.28, 41,443.50 and 17,282.94 is: 23,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,029.28 : 41,443.50 = 17,282.94 : x
  2. Step 2: Convert to fraction form
    30,029.28/41,443.50 = 17,282.94/x
  3. Step 3: Cross multiply
    30,029.28x = 41,443.50 × 17,282.94
  4. Step 4: Simplify right side
    30,029.28x = 716,265,685.75
  5. Step 5: Solve for x
    x = 716,265,685.75/30,029.28
  6. Step 6: Final answer
    x = 23,852.24

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