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Finding the Fourth Proportional to 30,341.81, 41,873.13 and 16,913.16

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Solution

The fourth proportional to 30,341.81, 41,873.13 and 16,913.16 is: 23,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341.81 : 41,873.13 = 16,913.16 : x
  2. Step 2: Convert to fraction form
    30,341.81/41,873.13 = 16,913.16/x
  3. Step 3: Cross multiply
    30,341.81x = 41,873.13 × 16,913.16
  4. Step 4: Simplify right side
    30,341.81x = 708,206,947.39
  5. Step 5: Solve for x
    x = 708,206,947.39/30,341.81
  6. Step 6: Final answer
    x = 23,340.96

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Why These Related Problems?

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