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Finding the Fourth Proportional to 30,992.63, 42,769.51 and 16,845.53

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Solution

The fourth proportional to 30,992.63, 42,769.51 and 16,845.53 is: 23,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.63 : 42,769.51 = 16,845.53 : x
  2. Step 2: Convert to fraction form
    30,992.63/42,769.51 = 16,845.53/x
  3. Step 3: Cross multiply
    30,992.63x = 42,769.51 × 16,845.53
  4. Step 4: Simplify right side
    30,992.63x = 720,474,807.83
  5. Step 5: Solve for x
    x = 720,474,807.83/30,992.63
  6. Step 6: Final answer
    x = 23,246.65

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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.