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Finding the Fourth Proportional to 30,930.84, 42,684.57 and 16,783.70

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Solution

The fourth proportional to 30,930.84, 42,684.57 and 16,783.70 is: 23,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.84 : 42,684.57 = 16,783.70 : x
  2. Step 2: Convert to fraction form
    30,930.84/42,684.57 = 16,783.70/x
  3. Step 3: Cross multiply
    30,930.84x = 42,684.57 × 16,783.70
  4. Step 4: Simplify right side
    30,930.84x = 716,404,804.09
  5. Step 5: Solve for x
    x = 716,404,804.09/30,930.84
  6. Step 6: Final answer
    x = 23,161.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.