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Finding the Fourth Proportional to 30,184.04, 41,652 and 16,754.64

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Solution

The fourth proportional to 30,184.04, 41,652 and 16,754.64 is: 23,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.04 : 41,652 = 16,754.64 : x
  2. Step 2: Convert to fraction form
    30,184.04/41,652 = 16,754.64/x
  3. Step 3: Cross multiply
    30,184.04x = 41,652 × 16,754.64
  4. Step 4: Simplify right side
    30,184.04x = 697,864,265.28
  5. Step 5: Solve for x
    x = 697,864,265.28/30,184.04
  6. Step 6: Final answer
    x = 23,120.31

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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.