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Finding the Fourth Proportional to 30,778.80, 46,189.80 and 19,712.40

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Solution

The fourth proportional to 30,778.80, 46,189.80 and 19,712.40 is: 29,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.80 : 46,189.80 = 19,712.40 : x
  2. Step 2: Convert to fraction form
    30,778.80/46,189.80 = 19,712.40/x
  3. Step 3: Cross multiply
    30,778.80x = 46,189.80 × 19,712.40
  4. Step 4: Simplify right side
    30,778.80x = 910,511,813.52
  5. Step 5: Solve for x
    x = 910,511,813.52/30,778.80
  6. Step 6: Final answer
    x = 29,582.43

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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.