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Finding the Fourth Proportional to 82,619.30, 114,015.31 and 44,893.55

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Solution

The fourth proportional to 82,619.30, 114,015.31 and 44,893.55 is: 61,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,619.30 : 114,015.31 = 44,893.55 : x
  2. Step 2: Convert to fraction form
    82,619.30/114,015.31 = 44,893.55/x
  3. Step 3: Cross multiply
    82,619.30x = 114,015.31 × 44,893.55
  4. Step 4: Simplify right side
    82,619.30x = 5,118,551,804.24
  5. Step 5: Solve for x
    x = 5,118,551,804.24/82,619.30
  6. Step 6: Final answer
    x = 61,953.47

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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.