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Finding the Fourth Proportional to 30,765.16, 46,150.26 and 8,578.74

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Solution

The fourth proportional to 30,765.16, 46,150.26 and 8,578.74 is: 12,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.16 : 46,150.26 = 8,578.74 : x
  2. Step 2: Convert to fraction form
    30,765.16/46,150.26 = 8,578.74/x
  3. Step 3: Cross multiply
    30,765.16x = 46,150.26 × 8,578.74
  4. Step 4: Simplify right side
    30,765.16x = 395,911,081.47
  5. Step 5: Solve for x
    x = 395,911,081.47/30,765.16
  6. Step 6: Final answer
    x = 12,868.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.