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Finding the Fourth Proportional to 86,504, 119,375.68 and 46,760

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Solution

The fourth proportional to 86,504, 119,375.68 and 46,760 is: 64,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,504 : 119,375.68 = 46,760 : x
  2. Step 2: Convert to fraction form
    86,504/119,375.68 = 46,760/x
  3. Step 3: Cross multiply
    86,504x = 119,375.68 × 46,760
  4. Step 4: Simplify right side
    86,504x = 5,582,006,796.80
  5. Step 5: Solve for x
    x = 5,582,006,796.80/86,504
  6. Step 6: Final answer
    x = 64,528.89

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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.