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Finding the Fourth Proportional to 82,995.56, 114,533.16 and 45,269

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Solution

The fourth proportional to 82,995.56, 114,533.16 and 45,269 is: 62,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,995.56 : 114,533.16 = 45,269 : x
  2. Step 2: Convert to fraction form
    82,995.56/114,533.16 = 45,269/x
  3. Step 3: Cross multiply
    82,995.56x = 114,533.16 × 45,269
  4. Step 4: Simplify right side
    82,995.56x = 5,184,801,620.04
  5. Step 5: Solve for x
    x = 5,184,801,620.04/82,995.56
  6. Step 6: Final answer
    x = 62,470.83

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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.