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Finding the Fourth Proportional to 30,925.67, 46,357.31 and 12,198.47

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Solution

The fourth proportional to 30,925.67, 46,357.31 and 12,198.47 is: 18,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925.67 : 46,357.31 = 12,198.47 : x
  2. Step 2: Convert to fraction form
    30,925.67/46,357.31 = 12,198.47/x
  3. Step 3: Cross multiply
    30,925.67x = 46,357.31 × 12,198.47
  4. Step 4: Simplify right side
    30,925.67x = 565,487,962.54
  5. Step 5: Solve for x
    x = 565,487,962.54/30,925.67
  6. Step 6: Final answer
    x = 18,285.39

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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.