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Finding the Fourth Proportional to 86,709.75, 119,659.46 and 46,965.75

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Solution

The fourth proportional to 86,709.75, 119,659.46 and 46,965.75 is: 64,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,709.75 : 119,659.46 = 46,965.75 : x
  2. Step 2: Convert to fraction form
    86,709.75/119,659.46 = 46,965.75/x
  3. Step 3: Cross multiply
    86,709.75x = 119,659.46 × 46,965.75
  4. Step 4: Simplify right side
    86,709.75x = 5,619,896,048.67
  5. Step 5: Solve for x
    x = 5,619,896,048.67/86,709.75
  6. Step 6: Final answer
    x = 64,812.74

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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.