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Finding the Fourth Proportional to 30,596.76, 45,886.32 and 8,410.86

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Solution

The fourth proportional to 30,596.76, 45,886.32 and 8,410.86 is: 12,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.76 : 45,886.32 = 8,410.86 : x
  2. Step 2: Convert to fraction form
    30,596.76/45,886.32 = 8,410.86/x
  3. Step 3: Cross multiply
    30,596.76x = 45,886.32 × 8,410.86
  4. Step 4: Simplify right side
    30,596.76x = 385,943,413.44
  5. Step 5: Solve for x
    x = 385,943,413.44/30,596.76
  6. Step 6: Final answer
    x = 12,613.87

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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.