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Finding the Fourth Proportional to 30,780.42, 46,170.42 and 8,593.80

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Solution

The fourth proportional to 30,780.42, 46,170.42 and 8,593.80 is: 12,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.42 : 46,170.42 = 8,593.80 : x
  2. Step 2: Convert to fraction form
    30,780.42/46,170.42 = 8,593.80/x
  3. Step 3: Cross multiply
    30,780.42x = 46,170.42 × 8,593.80
  4. Step 4: Simplify right side
    30,780.42x = 396,779,355.40
  5. Step 5: Solve for x
    x = 396,779,355.40/30,780.42
  6. Step 6: Final answer
    x = 12,890.64

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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.