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Finding the Fourth Proportional to 30,728.86, 46,098.15 and 11,006.98

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Solution

The fourth proportional to 30,728.86, 46,098.15 and 11,006.98 is: 16,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.86 : 46,098.15 = 11,006.98 : x
  2. Step 2: Convert to fraction form
    30,728.86/46,098.15 = 11,006.98/x
  3. Step 3: Cross multiply
    30,728.86x = 46,098.15 × 11,006.98
  4. Step 4: Simplify right side
    30,728.86x = 507,401,129.56
  5. Step 5: Solve for x
    x = 507,401,129.56/30,728.86
  6. Step 6: Final answer
    x = 16,512.20

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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.