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Finding the Fourth Proportional to 52,964, 73,092.24 and 29,092.88

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Solution

The fourth proportional to 52,964, 73,092.24 and 29,092.88 is: 40,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,964 : 73,092.24 = 29,092.88 : x
  2. Step 2: Convert to fraction form
    52,964/73,092.24 = 29,092.88/x
  3. Step 3: Cross multiply
    52,964x = 73,092.24 × 29,092.88
  4. Step 4: Simplify right side
    52,964x = 2,126,463,767.25
  5. Step 5: Solve for x
    x = 2,126,463,767.25/52,964
  6. Step 6: Final answer
    x = 40,149.23

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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.