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Finding the Fourth Proportional to 78,589, 108,463.80 and 50,354.83

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Solution

The fourth proportional to 78,589, 108,463.80 and 50,354.83 is: 69,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589 : 108,463.80 = 50,354.83 : x
  2. Step 2: Convert to fraction form
    78,589/108,463.80 = 50,354.83/x
  3. Step 3: Cross multiply
    78,589x = 108,463.80 × 50,354.83
  4. Step 4: Simplify right side
    78,589x = 5,461,676,210.15
  5. Step 5: Solve for x
    x = 5,461,676,210.15/78,589
  6. Step 6: Final answer
    x = 69,496.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.