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Finding the Fourth Proportional to 30,506.88, 42,097.52 and 17,078.03

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Solution

The fourth proportional to 30,506.88, 42,097.52 and 17,078.03 is: 23,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.88 : 42,097.52 = 17,078.03 : x
  2. Step 2: Convert to fraction form
    30,506.88/42,097.52 = 17,078.03/x
  3. Step 3: Cross multiply
    30,506.88x = 42,097.52 × 17,078.03
  4. Step 4: Simplify right side
    30,506.88x = 718,942,413.61
  5. Step 5: Solve for x
    x = 718,942,413.61/30,506.88
  6. Step 6: Final answer
    x = 23,566.57

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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.