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Finding the Fourth Proportional to 30,880.76, 46,317.03 and 8,695.86

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Solution

The fourth proportional to 30,880.76, 46,317.03 and 8,695.86 is: 13,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.76 : 46,317.03 = 8,695.86 : x
  2. Step 2: Convert to fraction form
    30,880.76/46,317.03 = 8,695.86/x
  3. Step 3: Cross multiply
    30,880.76x = 46,317.03 × 8,695.86
  4. Step 4: Simplify right side
    30,880.76x = 402,766,408.50
  5. Step 5: Solve for x
    x = 402,766,408.50/30,880.76
  6. Step 6: Final answer
    x = 13,042.63

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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.