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Finding the Fourth Proportional to 101,494.20, 152,263.74 and 30,413.96

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Solution

The fourth proportional to 101,494.20, 152,263.74 and 30,413.96 is: 45,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,494.20 : 152,263.74 = 30,413.96 : x
  2. Step 2: Convert to fraction form
    101,494.20/152,263.74 = 30,413.96/x
  3. Step 3: Cross multiply
    101,494.20x = 152,263.74 × 30,413.96
  4. Step 4: Simplify right side
    101,494.20x = 4,630,943,297.81
  5. Step 5: Solve for x
    x = 4,630,943,297.81/101,494.20
  6. Step 6: Final answer
    x = 45,627.66

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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.