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Finding the Fourth Proportional to 82,193.28, 113,390.56 and 48,184.48

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Solution

The fourth proportional to 82,193.28, 113,390.56 and 48,184.48 is: 66,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,193.28 : 113,390.56 = 48,184.48 : x
  2. Step 2: Convert to fraction form
    82,193.28/113,390.56 = 48,184.48/x
  3. Step 3: Cross multiply
    82,193.28x = 113,390.56 × 48,184.48
  4. Step 4: Simplify right side
    82,193.28x = 5,463,665,170.51
  5. Step 5: Solve for x
    x = 5,463,665,170.51/82,193.28
  6. Step 6: Final answer
    x = 66,473.38

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Why These Related Problems?

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