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Finding the Fourth Proportional to 53,254.26, 73,489.68 and 29,383.20

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Solution

The fourth proportional to 53,254.26, 73,489.68 and 29,383.20 is: 40,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,254.26 : 73,489.68 = 29,383.20 : x
  2. Step 2: Convert to fraction form
    53,254.26/73,489.68 = 29,383.20/x
  3. Step 3: Cross multiply
    53,254.26x = 73,489.68 × 29,383.20
  4. Step 4: Simplify right side
    53,254.26x = 2,159,361,965.38
  5. Step 5: Solve for x
    x = 2,159,361,965.38/53,254.26
  6. Step 6: Final answer
    x = 40,548.15

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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.