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Finding the Fourth Proportional to 30,412.56, 41,969.16 and 16,983.68

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Solution

The fourth proportional to 30,412.56, 41,969.16 and 16,983.68 is: 23,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.56 : 41,969.16 = 16,983.68 : x
  2. Step 2: Convert to fraction form
    30,412.56/41,969.16 = 16,983.68/x
  3. Step 3: Cross multiply
    30,412.56x = 41,969.16 × 16,983.68
  4. Step 4: Simplify right side
    30,412.56x = 712,790,783.31
  5. Step 5: Solve for x
    x = 712,790,783.31/30,412.56
  6. Step 6: Final answer
    x = 23,437.38

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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.