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Finding the Fourth Proportional to 34,968, 52,413.84 and 17,210.88

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Solution

The fourth proportional to 34,968, 52,413.84 and 17,210.88 is: 25,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968 : 52,413.84 = 17,210.88 : x
  2. Step 2: Convert to fraction form
    34,968/52,413.84 = 17,210.88/x
  3. Step 3: Cross multiply
    34,968x = 52,413.84 × 17,210.88
  4. Step 4: Simplify right side
    34,968x = 902,088,310.58
  5. Step 5: Solve for x
    x = 902,088,310.58/34,968
  6. Step 6: Final answer
    x = 25,797.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.