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Finding the Fourth Proportional to 30,918.50, 46,339.74 and 14,255.42

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Solution

The fourth proportional to 30,918.50, 46,339.74 and 14,255.42 is: 21,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918.50 : 46,339.74 = 14,255.42 : x
  2. Step 2: Convert to fraction form
    30,918.50/46,339.74 = 14,255.42/x
  3. Step 3: Cross multiply
    30,918.50x = 46,339.74 × 14,255.42
  4. Step 4: Simplify right side
    30,918.50x = 660,592,456.39
  5. Step 5: Solve for x
    x = 660,592,456.39/30,918.50
  6. Step 6: Final answer
    x = 21,365.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.