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Finding the Fourth Proportional to 82,178.94, 113,407.47 and 48,179.82

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Solution

The fourth proportional to 82,178.94, 113,407.47 and 48,179.82 is: 66,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178.94 : 113,407.47 = 48,179.82 : x
  2. Step 2: Convert to fraction form
    82,178.94/113,407.47 = 48,179.82/x
  3. Step 3: Cross multiply
    82,178.94x = 113,407.47 × 48,179.82
  4. Step 4: Simplify right side
    82,178.94x = 5,463,951,491.26
  5. Step 5: Solve for x
    x = 5,463,951,491.26/82,178.94
  6. Step 6: Final answer
    x = 66,488.46

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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.