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Finding the Fourth Proportional to 43,851.60, 65,778 and 14,269.59

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Solution

The fourth proportional to 43,851.60, 65,778 and 14,269.59 is: 21,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,851.60 : 65,778 = 14,269.59 : x
  2. Step 2: Convert to fraction form
    43,851.60/65,778 = 14,269.59/x
  3. Step 3: Cross multiply
    43,851.60x = 65,778 × 14,269.59
  4. Step 4: Simplify right side
    43,851.60x = 938,625,091.02
  5. Step 5: Solve for x
    x = 938,625,091.02/43,851.60
  6. Step 6: Final answer
    x = 21,404.58

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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.