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Finding the Fourth Proportional to 30,421.32, 41,963.90 and 18,313.38

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Solution

The fourth proportional to 30,421.32, 41,963.90 and 18,313.38 is: 25,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.32 : 41,963.90 = 18,313.38 : x
  2. Step 2: Convert to fraction form
    30,421.32/41,963.90 = 18,313.38/x
  3. Step 3: Cross multiply
    30,421.32x = 41,963.90 × 18,313.38
  4. Step 4: Simplify right side
    30,421.32x = 768,500,846.98
  5. Step 5: Solve for x
    x = 768,500,846.98/30,421.32
  6. Step 6: Final answer
    x = 25,261.92

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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.