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Finding the Fourth Proportional to 86,722.94, 119,680 and 48,996.38

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Solution

The fourth proportional to 86,722.94, 119,680 and 48,996.38 is: 67,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,722.94 : 119,680 = 48,996.38 : x
  2. Step 2: Convert to fraction form
    86,722.94/119,680 = 48,996.38/x
  3. Step 3: Cross multiply
    86,722.94x = 119,680 × 48,996.38
  4. Step 4: Simplify right side
    86,722.94x = 5,863,886,758.40
  5. Step 5: Solve for x
    x = 5,863,886,758.40/86,722.94
  6. Step 6: Final answer
    x = 67,616.33

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Why These Related Problems?

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