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Finding the Fourth Proportional to 30,775.07, 46,164.87 and 11,053.80

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Solution

The fourth proportional to 30,775.07, 46,164.87 and 11,053.80 is: 16,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.07 : 46,164.87 = 11,053.80 : x
  2. Step 2: Convert to fraction form
    30,775.07/46,164.87 = 11,053.80/x
  3. Step 3: Cross multiply
    30,775.07x = 46,164.87 × 11,053.80
  4. Step 4: Simplify right side
    30,775.07x = 510,297,240.01
  5. Step 5: Solve for x
    x = 510,297,240.01/30,775.07
  6. Step 6: Final answer
    x = 16,581.51

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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.