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Finding the Fourth Proportional to 51,642, 71,254.98 and 30,413.52

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Solution

The fourth proportional to 51,642, 71,254.98 and 30,413.52 is: 41,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642 : 71,254.98 = 30,413.52 : x
  2. Step 2: Convert to fraction form
    51,642/71,254.98 = 30,413.52/x
  3. Step 3: Cross multiply
    51,642x = 71,254.98 × 30,413.52
  4. Step 4: Simplify right side
    51,642x = 2,167,114,759.33
  5. Step 5: Solve for x
    x = 2,167,114,759.33/51,642
  6. Step 6: Final answer
    x = 41,964.19

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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.