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Finding the Fourth Proportional to 53,829, 80,685.60 and 51,344.94

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Solution

The fourth proportional to 53,829, 80,685.60 and 51,344.94 is: 76,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,829 : 80,685.60 = 51,344.94 : x
  2. Step 2: Convert to fraction form
    53,829/80,685.60 = 51,344.94/x
  3. Step 3: Cross multiply
    53,829x = 80,685.60 × 51,344.94
  4. Step 4: Simplify right side
    53,829x = 4,142,797,290.86
  5. Step 5: Solve for x
    x = 4,142,797,290.86/53,829
  6. Step 6: Final answer
    x = 76,962.18

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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.