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Finding the Fourth Proportional to 41,422, 62,133.48 and 10,257.52

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Solution

The fourth proportional to 41,422, 62,133.48 and 10,257.52 is: 15,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,422 : 62,133.48 = 10,257.52 : x
  2. Step 2: Convert to fraction form
    41,422/62,133.48 = 10,257.52/x
  3. Step 3: Cross multiply
    41,422x = 62,133.48 × 10,257.52
  4. Step 4: Simplify right side
    41,422x = 637,335,413.77
  5. Step 5: Solve for x
    x = 637,335,413.77/41,422
  6. Step 6: Final answer
    x = 15,386.40

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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.