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Finding the Fourth Proportional to 82,314, 123,313.23 and 48,933

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Solution

The fourth proportional to 82,314, 123,313.23 and 48,933 is: 73,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314 : 123,313.23 = 48,933 : x
  2. Step 2: Convert to fraction form
    82,314/123,313.23 = 48,933/x
  3. Step 3: Cross multiply
    82,314x = 123,313.23 × 48,933
  4. Step 4: Simplify right side
    82,314x = 6,034,086,283.59
  5. Step 5: Solve for x
    x = 6,034,086,283.59/82,314
  6. Step 6: Final answer
    x = 73,305.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.