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Finding the Fourth Proportional to 76,932, 106,166.48 and 41,604

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Solution

The fourth proportional to 76,932, 106,166.48 and 41,604 is: 57,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,932 : 106,166.48 = 41,604 : x
  2. Step 2: Convert to fraction form
    76,932/106,166.48 = 41,604/x
  3. Step 3: Cross multiply
    76,932x = 106,166.48 × 41,604
  4. Step 4: Simplify right side
    76,932x = 4,416,950,233.92
  5. Step 5: Solve for x
    x = 4,416,950,233.92/76,932
  6. Step 6: Final answer
    x = 57,413.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.