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Finding the Fourth Proportional to 52,299, 72,174.24 and 29,943

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Solution

The fourth proportional to 52,299, 72,174.24 and 29,943 is: 41,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,299 : 72,174.24 = 29,943 : x
  2. Step 2: Convert to fraction form
    52,299/72,174.24 = 29,943/x
  3. Step 3: Cross multiply
    52,299x = 72,174.24 × 29,943
  4. Step 4: Simplify right side
    52,299x = 2,161,113,268.32
  5. Step 5: Solve for x
    x = 2,161,113,268.32/52,299
  6. Step 6: Final answer
    x = 41,322.27

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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.