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Finding the Fourth Proportional to 30,123.42, 41,546.88 and 18,174.30

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Solution

The fourth proportional to 30,123.42, 41,546.88 and 18,174.30 is: 25,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123.42 : 41,546.88 = 18,174.30 : x
  2. Step 2: Convert to fraction form
    30,123.42/41,546.88 = 18,174.30/x
  3. Step 3: Cross multiply
    30,123.42x = 41,546.88 × 18,174.30
  4. Step 4: Simplify right side
    30,123.42x = 755,085,461.18
  5. Step 5: Solve for x
    x = 755,085,461.18/30,123.42
  6. Step 6: Final answer
    x = 25,066.39

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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.