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Finding the Fourth Proportional to 72,383.84, 108,558.30 and 30,241.16

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Solution

The fourth proportional to 72,383.84, 108,558.30 and 30,241.16 is: 45,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,383.84 : 108,558.30 = 30,241.16 : x
  2. Step 2: Convert to fraction form
    72,383.84/108,558.30 = 30,241.16/x
  3. Step 3: Cross multiply
    72,383.84x = 108,558.30 × 30,241.16
  4. Step 4: Simplify right side
    72,383.84x = 3,282,928,919.63
  5. Step 5: Solve for x
    x = 3,282,928,919.63/72,383.84
  6. Step 6: Final answer
    x = 45,354.45

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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.