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Finding the Fourth Proportional to 81,378.41, 122,130.12 and 36,413.69

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Solution

The fourth proportional to 81,378.41, 122,130.12 and 36,413.69 is: 54,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378.41 : 122,130.12 = 36,413.69 : x
  2. Step 2: Convert to fraction form
    81,378.41/122,130.12 = 36,413.69/x
  3. Step 3: Cross multiply
    81,378.41x = 122,130.12 × 36,413.69
  4. Step 4: Simplify right side
    81,378.41x = 4,447,208,329.34
  5. Step 5: Solve for x
    x = 4,447,208,329.34/81,378.41
  6. Step 6: Final answer
    x = 54,648.50

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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.