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Finding the Fourth Proportional to 82,277.10, 123,451.49 and 32,393.45

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Solution

The fourth proportional to 82,277.10, 123,451.49 and 32,393.45 is: 48,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,277.10 : 123,451.49 = 32,393.45 : x
  2. Step 2: Convert to fraction form
    82,277.10/123,451.49 = 32,393.45/x
  3. Step 3: Cross multiply
    82,277.10x = 123,451.49 × 32,393.45
  4. Step 4: Simplify right side
    82,277.10x = 3,999,020,058.35
  5. Step 5: Solve for x
    x = 3,999,020,058.35/82,277.10
  6. Step 6: Final answer
    x = 48,604.29

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