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Finding the Fourth Proportional to 82,065.08, 123,053.88 and 42,582.44

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Solution

The fourth proportional to 82,065.08, 123,053.88 and 42,582.44 is: 63,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065.08 : 123,053.88 = 42,582.44 : x
  2. Step 2: Convert to fraction form
    82,065.08/123,053.88 = 42,582.44/x
  3. Step 3: Cross multiply
    82,065.08x = 123,053.88 × 42,582.44
  4. Step 4: Simplify right side
    82,065.08x = 5,239,934,461.87
  5. Step 5: Solve for x
    x = 5,239,934,461.87/82,065.08
  6. Step 6: Final answer
    x = 63,850.96

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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.