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Finding the Fourth Proportional to 76,544, 105,586.68 and 47,813.84

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Solution

The fourth proportional to 76,544, 105,586.68 and 47,813.84 is: 65,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,544 : 105,586.68 = 47,813.84 : x
  2. Step 2: Convert to fraction form
    76,544/105,586.68 = 47,813.84/x
  3. Step 3: Cross multiply
    76,544x = 105,586.68 × 47,813.84
  4. Step 4: Simplify right side
    76,544x = 5,048,504,623.65
  5. Step 5: Solve for x
    x = 5,048,504,623.65/76,544
  6. Step 6: Final answer
    x = 65,955.59

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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.