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Finding the Fourth Proportional to 30,775.80, 46,135.92 and 11,049.72

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Solution

The fourth proportional to 30,775.80, 46,135.92 and 11,049.72 is: 16,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.80 : 46,135.92 = 11,049.72 : x
  2. Step 2: Convert to fraction form
    30,775.80/46,135.92 = 11,049.72/x
  3. Step 3: Cross multiply
    30,775.80x = 46,135.92 × 11,049.72
  4. Step 4: Simplify right side
    30,775.80x = 509,788,997.94
  5. Step 5: Solve for x
    x = 509,788,997.94/30,775.80
  6. Step 6: Final answer
    x = 16,564.61

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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.