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Finding the Fourth Proportional to 82,216.79, 123,338.10 and 34,832.01

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Solution

The fourth proportional to 82,216.79, 123,338.10 and 34,832.01 is: 52,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,216.79 : 123,338.10 = 34,832.01 : x
  2. Step 2: Convert to fraction form
    82,216.79/123,338.10 = 34,832.01/x
  3. Step 3: Cross multiply
    82,216.79x = 123,338.10 × 34,832.01
  4. Step 4: Simplify right side
    82,216.79x = 4,296,113,932.58
  5. Step 5: Solve for x
    x = 4,296,113,932.58/82,216.79
  6. Step 6: Final answer
    x = 52,253.49

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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.