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Finding the Fourth Proportional to 82,426.56, 113,775.48 and 48,434.46

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Solution

The fourth proportional to 82,426.56, 113,775.48 and 48,434.46 is: 66,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,426.56 : 113,775.48 = 48,434.46 : x
  2. Step 2: Convert to fraction form
    82,426.56/113,775.48 = 48,434.46/x
  3. Step 3: Cross multiply
    82,426.56x = 113,775.48 × 48,434.46
  4. Step 4: Simplify right side
    82,426.56x = 5,510,653,935.04
  5. Step 5: Solve for x
    x = 5,510,653,935.04/82,426.56
  6. Step 6: Final answer
    x = 66,855.32

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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.