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Finding the Fourth Proportional to 30,516.71, 42,112.19 and 16,905.20

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Solution

The fourth proportional to 30,516.71, 42,112.19 and 16,905.20 is: 23,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.71 : 42,112.19 = 16,905.20 : x
  2. Step 2: Convert to fraction form
    30,516.71/42,112.19 = 16,905.20/x
  3. Step 3: Cross multiply
    30,516.71x = 42,112.19 × 16,905.20
  4. Step 4: Simplify right side
    30,516.71x = 711,914,826.09
  5. Step 5: Solve for x
    x = 711,914,826.09/30,516.71
  6. Step 6: Final answer
    x = 23,328.69

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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.