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Finding the Fourth Proportional to 86,539.89, 119,436 and 50,233.57

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Solution

The fourth proportional to 86,539.89, 119,436 and 50,233.57 is: 69,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,539.89 : 119,436 = 50,233.57 : x
  2. Step 2: Convert to fraction form
    86,539.89/119,436 = 50,233.57/x
  3. Step 3: Cross multiply
    86,539.89x = 119,436 × 50,233.57
  4. Step 4: Simplify right side
    86,539.89x = 5,999,696,666.52
  5. Step 5: Solve for x
    x = 5,999,696,666.52/86,539.89
  6. Step 6: Final answer
    x = 69,328.68

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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.