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Finding the Fourth Proportional to 30,342.48, 41,874.12 and 16,914.84

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Solution

The fourth proportional to 30,342.48, 41,874.12 and 16,914.84 is: 23,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.48 : 41,874.12 = 16,914.84 : x
  2. Step 2: Convert to fraction form
    30,342.48/41,874.12 = 16,914.84/x
  3. Step 3: Cross multiply
    30,342.48x = 41,874.12 × 16,914.84
  4. Step 4: Simplify right side
    30,342.48x = 708,294,039.94
  5. Step 5: Solve for x
    x = 708,294,039.94/30,342.48
  6. Step 6: Final answer
    x = 23,343.31

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1.5x scale

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.