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Finding the Fourth Proportional to 30,775.48, 46,169.39 and 11,798.73

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Solution

The fourth proportional to 30,775.48, 46,169.39 and 11,798.73 is: 17,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.48 : 46,169.39 = 11,798.73 : x
  2. Step 2: Convert to fraction form
    30,775.48/46,169.39 = 11,798.73/x
  3. Step 3: Cross multiply
    30,775.48x = 46,169.39 × 11,798.73
  4. Step 4: Simplify right side
    30,775.48x = 544,740,196.37
  5. Step 5: Solve for x
    x = 544,740,196.37/30,775.48
  6. Step 6: Final answer
    x = 17,700.46

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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.