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Finding the Fourth Proportional to 30,084, 41,516.01 and 16,656.18

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Solution

The fourth proportional to 30,084, 41,516.01 and 16,656.18 is: 22,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084 : 41,516.01 = 16,656.18 : x
  2. Step 2: Convert to fraction form
    30,084/41,516.01 = 16,656.18/x
  3. Step 3: Cross multiply
    30,084x = 41,516.01 × 16,656.18
  4. Step 4: Simplify right side
    30,084x = 691,498,135.44
  5. Step 5: Solve for x
    x = 691,498,135.44/30,084
  6. Step 6: Final answer
    x = 22,985.58

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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.