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Finding the Fourth Proportional to 76,696.48, 105,825.28 and 44,859.20

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Solution

The fourth proportional to 76,696.48, 105,825.28 and 44,859.20 is: 61,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,696.48 : 105,825.28 = 44,859.20 : x
  2. Step 2: Convert to fraction form
    76,696.48/105,825.28 = 44,859.20/x
  3. Step 3: Cross multiply
    76,696.48x = 105,825.28 × 44,859.20
  4. Step 4: Simplify right side
    76,696.48x = 4,747,237,400.58
  5. Step 5: Solve for x
    x = 4,747,237,400.58/76,696.48
  6. Step 6: Final answer
    x = 61,896.42

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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.