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Finding the Fourth Proportional to 82,234.39, 123,252.25 and 40,051.25

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Solution

The fourth proportional to 82,234.39, 123,252.25 and 40,051.25 is: 60,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,234.39 : 123,252.25 = 40,051.25 : x
  2. Step 2: Convert to fraction form
    82,234.39/123,252.25 = 40,051.25/x
  3. Step 3: Cross multiply
    82,234.39x = 123,252.25 × 40,051.25
  4. Step 4: Simplify right side
    82,234.39x = 4,936,406,677.81
  5. Step 5: Solve for x
    x = 4,936,406,677.81/82,234.39
  6. Step 6: Final answer
    x = 60,028.50

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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.