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Finding the Fourth Proportional to 34,413.28, 51,618.04 and 9,452.84

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Solution

The fourth proportional to 34,413.28, 51,618.04 and 9,452.84 is: 14,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,413.28 : 51,618.04 = 9,452.84 : x
  2. Step 2: Convert to fraction form
    34,413.28/51,618.04 = 9,452.84/x
  3. Step 3: Cross multiply
    34,413.28x = 51,618.04 × 9,452.84
  4. Step 4: Simplify right side
    34,413.28x = 487,937,073.23
  5. Step 5: Solve for x
    x = 487,937,073.23/34,413.28
  6. Step 6: Final answer
    x = 14,178.74

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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.