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Finding the Fourth Proportional to 30,394.70, 41,951.68 and 17,823.50

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Solution

The fourth proportional to 30,394.70, 41,951.68 and 17,823.50 is: 24,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.70 : 41,951.68 = 17,823.50 : x
  2. Step 2: Convert to fraction form
    30,394.70/41,951.68 = 17,823.50/x
  3. Step 3: Cross multiply
    30,394.70x = 41,951.68 × 17,823.50
  4. Step 4: Simplify right side
    30,394.70x = 747,725,514.16
  5. Step 5: Solve for x
    x = 747,725,514.16/30,394.70
  6. Step 6: Final answer
    x = 24,600.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.