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Finding the Fourth Proportional to 35,759.53, 53,627.14 and 12,380.50

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Solution

The fourth proportional to 35,759.53, 53,627.14 and 12,380.50 is: 18,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,759.53 : 53,627.14 = 12,380.50 : x
  2. Step 2: Convert to fraction form
    35,759.53/53,627.14 = 12,380.50/x
  3. Step 3: Cross multiply
    35,759.53x = 53,627.14 × 12,380.50
  4. Step 4: Simplify right side
    35,759.53x = 663,930,806.77
  5. Step 5: Solve for x
    x = 663,930,806.77/35,759.53
  6. Step 6: Final answer
    x = 18,566.54

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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.