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Finding the Fourth Proportional to 86,429.16, 119,301.84 and 50,630.64

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Solution

The fourth proportional to 86,429.16, 119,301.84 and 50,630.64 is: 69,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,429.16 : 119,301.84 = 50,630.64 : x
  2. Step 2: Convert to fraction form
    86,429.16/119,301.84 = 50,630.64/x
  3. Step 3: Cross multiply
    86,429.16x = 119,301.84 × 50,630.64
  4. Step 4: Simplify right side
    86,429.16x = 6,040,328,512.38
  5. Step 5: Solve for x
    x = 6,040,328,512.38/86,429.16
  6. Step 6: Final answer
    x = 69,887.62

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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.