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Finding the Fourth Proportional to 51,756.94, 71,419.61 and 29,090.71

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Solution

The fourth proportional to 51,756.94, 71,419.61 and 29,090.71 is: 40,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,756.94 : 71,419.61 = 29,090.71 : x
  2. Step 2: Convert to fraction form
    51,756.94/71,419.61 = 29,090.71/x
  3. Step 3: Cross multiply
    51,756.94x = 71,419.61 × 29,090.71
  4. Step 4: Simplify right side
    51,756.94x = 2,077,646,660.27
  5. Step 5: Solve for x
    x = 2,077,646,660.27/51,756.94
  6. Step 6: Final answer
    x = 40,142.38

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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.