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Finding the Fourth Proportional to 82,826.16, 114,300.24 and 45,100.56

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Solution

The fourth proportional to 82,826.16, 114,300.24 and 45,100.56 is: 62,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,826.16 : 114,300.24 = 45,100.56 : x
  2. Step 2: Convert to fraction form
    82,826.16/114,300.24 = 45,100.56/x
  3. Step 3: Cross multiply
    82,826.16x = 114,300.24 × 45,100.56
  4. Step 4: Simplify right side
    82,826.16x = 5,155,004,832.13
  5. Step 5: Solve for x
    x = 5,155,004,832.13/82,826.16
  6. Step 6: Final answer
    x = 62,238.85

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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.