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Finding the Fourth Proportional to 30,677.84, 46,017.78 and 8,489.36

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Solution

The fourth proportional to 30,677.84, 46,017.78 and 8,489.36 is: 12,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.84 : 46,017.78 = 8,489.36 : x
  2. Step 2: Convert to fraction form
    30,677.84/46,017.78 = 8,489.36/x
  3. Step 3: Cross multiply
    30,677.84x = 46,017.78 × 8,489.36
  4. Step 4: Simplify right side
    30,677.84x = 390,661,270.73
  5. Step 5: Solve for x
    x = 390,661,270.73/30,677.84
  6. Step 6: Final answer
    x = 12,734.32

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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.