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Finding the Fourth Proportional to 86,841.84, 119,845.26 and 49,116

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Solution

The fourth proportional to 86,841.84, 119,845.26 and 49,116 is: 67,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,841.84 : 119,845.26 = 49,116 : x
  2. Step 2: Convert to fraction form
    86,841.84/119,845.26 = 49,116/x
  3. Step 3: Cross multiply
    86,841.84x = 119,845.26 × 49,116
  4. Step 4: Simplify right side
    86,841.84x = 5,886,319,790.16
  5. Step 5: Solve for x
    x = 5,886,319,790.16/86,841.84
  6. Step 6: Final answer
    x = 67,782.07

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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.