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Finding the Fourth Proportional to 92,186.69, 138,298.50 and 29,022.71

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Solution

The fourth proportional to 92,186.69, 138,298.50 and 29,022.71 is: 43,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,186.69 : 138,298.50 = 29,022.71 : x
  2. Step 2: Convert to fraction form
    92,186.69/138,298.50 = 29,022.71/x
  3. Step 3: Cross multiply
    92,186.69x = 138,298.50 × 29,022.71
  4. Step 4: Simplify right side
    92,186.69x = 4,013,796,567.44
  5. Step 5: Solve for x
    x = 4,013,796,567.44/92,186.69
  6. Step 6: Final answer
    x = 43,539.87

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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.