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Finding the Fourth Proportional to 30,392.16, 41,937.42 and 16,964.16

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Solution

The fourth proportional to 30,392.16, 41,937.42 and 16,964.16 is: 23,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,392.16 : 41,937.42 = 16,964.16 : x
  2. Step 2: Convert to fraction form
    30,392.16/41,937.42 = 16,964.16/x
  3. Step 3: Cross multiply
    30,392.16x = 41,937.42 × 16,964.16
  4. Step 4: Simplify right side
    30,392.16x = 711,433,102.87
  5. Step 5: Solve for x
    x = 711,433,102.87/30,392.16
  6. Step 6: Final answer
    x = 23,408.44

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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.