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Finding the Fourth Proportional to 82,696.26, 114,120.96 and 44,970.50

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Solution

The fourth proportional to 82,696.26, 114,120.96 and 44,970.50 is: 62,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,696.26 : 114,120.96 = 44,970.50 : x
  2. Step 2: Convert to fraction form
    82,696.26/114,120.96 = 44,970.50/x
  3. Step 3: Cross multiply
    82,696.26x = 114,120.96 × 44,970.50
  4. Step 4: Simplify right side
    82,696.26x = 5,132,076,631.68
  5. Step 5: Solve for x
    x = 5,132,076,631.68/82,696.26
  6. Step 6: Final answer
    x = 62,059.36

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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.