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Finding the Fourth Proportional to 92,050.70, 138,074.65 and 41,413.96

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Solution

The fourth proportional to 92,050.70, 138,074.65 and 41,413.96 is: 62,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,050.70 : 138,074.65 = 41,413.96 : x
  2. Step 2: Convert to fraction form
    92,050.70/138,074.65 = 41,413.96/x
  3. Step 3: Cross multiply
    92,050.70x = 138,074.65 × 41,413.96
  4. Step 4: Simplify right side
    92,050.70x = 5,718,218,032.11
  5. Step 5: Solve for x
    x = 5,718,218,032.11/92,050.70
  6. Step 6: Final answer
    x = 62,120.31

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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.