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Finding the Fourth Proportional to 34,766.30, 52,130 and 11,390.78

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Solution

The fourth proportional to 34,766.30, 52,130 and 11,390.78 is: 17,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.30 : 52,130 = 11,390.78 : x
  2. Step 2: Convert to fraction form
    34,766.30/52,130 = 11,390.78/x
  3. Step 3: Cross multiply
    34,766.30x = 52,130 × 11,390.78
  4. Step 4: Simplify right side
    34,766.30x = 593,801,361.40
  5. Step 5: Solve for x
    x = 593,801,361.40/34,766.30
  6. Step 6: Final answer
    x = 17,079.80

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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.