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Finding the Fourth Proportional to 30,745.94, 42,429.51 and 17,317.40

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Solution

The fourth proportional to 30,745.94, 42,429.51 and 17,317.40 is: 23,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.94 : 42,429.51 = 17,317.40 : x
  2. Step 2: Convert to fraction form
    30,745.94/42,429.51 = 17,317.40/x
  3. Step 3: Cross multiply
    30,745.94x = 42,429.51 × 17,317.40
  4. Step 4: Simplify right side
    30,745.94x = 734,768,584.33
  5. Step 5: Solve for x
    x = 734,768,584.33/30,745.94
  6. Step 6: Final answer
    x = 23,898.07

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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.