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Finding the Fourth Proportional to 30,930.71, 42,685.20 and 16,783.56

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Solution

The fourth proportional to 30,930.71, 42,685.20 and 16,783.56 is: 23,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.71 : 42,685.20 = 16,783.56 : x
  2. Step 2: Convert to fraction form
    30,930.71/42,685.20 = 16,783.56/x
  3. Step 3: Cross multiply
    30,930.71x = 42,685.20 × 16,783.56
  4. Step 4: Simplify right side
    30,930.71x = 716,409,615.31
  5. Step 5: Solve for x
    x = 716,409,615.31/30,930.71
  6. Step 6: Final answer
    x = 23,161.76

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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.