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Finding the Fourth Proportional to 30,815.96, 46,230.16 and 13,046.58

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Solution

The fourth proportional to 30,815.96, 46,230.16 and 13,046.58 is: 19,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815.96 : 46,230.16 = 13,046.58 : x
  2. Step 2: Convert to fraction form
    30,815.96/46,230.16 = 13,046.58/x
  3. Step 3: Cross multiply
    30,815.96x = 46,230.16 × 13,046.58
  4. Step 4: Simplify right side
    30,815.96x = 603,145,480.85
  5. Step 5: Solve for x
    x = 603,145,480.85/30,815.96
  6. Step 6: Final answer
    x = 19,572.50

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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.