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Finding the Fourth Proportional to 72,796.64, 109,204.56 and 25,412.58

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Solution

The fourth proportional to 72,796.64, 109,204.56 and 25,412.58 is: 38,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.64 : 109,204.56 = 25,412.58 : x
  2. Step 2: Convert to fraction form
    72,796.64/109,204.56 = 25,412.58/x
  3. Step 3: Cross multiply
    72,796.64x = 109,204.56 × 25,412.58
  4. Step 4: Simplify right side
    72,796.64x = 2,775,169,617.36
  5. Step 5: Solve for x
    x = 2,775,169,617.36/72,796.64
  6. Step 6: Final answer
    x = 38,122.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.