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Finding the Fourth Proportional to 30,780.70, 46,167.58 and 8,293.04

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Solution

The fourth proportional to 30,780.70, 46,167.58 and 8,293.04 is: 12,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.70 : 46,167.58 = 8,293.04 : x
  2. Step 2: Convert to fraction form
    30,780.70/46,167.58 = 8,293.04/x
  3. Step 3: Cross multiply
    30,780.70x = 46,167.58 × 8,293.04
  4. Step 4: Simplify right side
    30,780.70x = 382,869,356.81
  5. Step 5: Solve for x
    x = 382,869,356.81/30,780.70
  6. Step 6: Final answer
    x = 12,438.62

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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.