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Finding the Fourth Proportional to 41,142.17, 56,775.71 and 24,143.38

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Solution

The fourth proportional to 41,142.17, 56,775.71 and 24,143.38 is: 33,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142.17 : 56,775.71 = 24,143.38 : x
  2. Step 2: Convert to fraction form
    41,142.17/56,775.71 = 24,143.38/x
  3. Step 3: Cross multiply
    41,142.17x = 56,775.71 × 24,143.38
  4. Step 4: Simplify right side
    41,142.17x = 1,370,757,459.72
  5. Step 5: Solve for x
    x = 1,370,757,459.72/41,142.17
  6. Step 6: Final answer
    x = 33,317.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.