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Finding the Fourth Proportional to 82,338.72, 113,598.36 and 50,496

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Solution

The fourth proportional to 82,338.72, 113,598.36 and 50,496 is: 69,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,338.72 : 113,598.36 = 50,496 : x
  2. Step 2: Convert to fraction form
    82,338.72/113,598.36 = 50,496/x
  3. Step 3: Cross multiply
    82,338.72x = 113,598.36 × 50,496
  4. Step 4: Simplify right side
    82,338.72x = 5,736,262,786.56
  5. Step 5: Solve for x
    x = 5,736,262,786.56/82,338.72
  6. Step 6: Final answer
    x = 69,666.65

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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.