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Finding the Fourth Proportional to 82,994.26, 114,532.06 and 45,268.50

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Solution

The fourth proportional to 82,994.26, 114,532.06 and 45,268.50 is: 62,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,994.26 : 114,532.06 = 45,268.50 : x
  2. Step 2: Convert to fraction form
    82,994.26/114,532.06 = 45,268.50/x
  3. Step 3: Cross multiply
    82,994.26x = 114,532.06 × 45,268.50
  4. Step 4: Simplify right side
    82,994.26x = 5,184,694,558.11
  5. Step 5: Solve for x
    x = 5,184,694,558.11/82,994.26
  6. Step 6: Final answer
    x = 62,470.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.