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Finding the Fourth Proportional to 86,561.84, 119,458.96 and 48,836

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Solution

The fourth proportional to 86,561.84, 119,458.96 and 48,836 is: 67,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,561.84 : 119,458.96 = 48,836 : x
  2. Step 2: Convert to fraction form
    86,561.84/119,458.96 = 48,836/x
  3. Step 3: Cross multiply
    86,561.84x = 119,458.96 × 48,836
  4. Step 4: Simplify right side
    86,561.84x = 5,833,897,770.56
  5. Step 5: Solve for x
    x = 5,833,897,770.56/86,561.84
  6. Step 6: Final answer
    x = 67,395.72

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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.