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Finding the Fourth Proportional to 86,519, 119,396.38 and 46,775

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Solution

The fourth proportional to 86,519, 119,396.38 and 46,775 is: 64,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,519 : 119,396.38 = 46,775 : x
  2. Step 2: Convert to fraction form
    86,519/119,396.38 = 46,775/x
  3. Step 3: Cross multiply
    86,519x = 119,396.38 × 46,775
  4. Step 4: Simplify right side
    86,519x = 5,584,765,674.50
  5. Step 5: Solve for x
    x = 5,584,765,674.50/86,519
  6. Step 6: Final answer
    x = 64,549.59

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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.