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Finding the Fourth Proportional to 97,100.62, 145,615.68 and 33,903

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Solution

The fourth proportional to 97,100.62, 145,615.68 and 33,903 is: 50,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,100.62 : 145,615.68 = 33,903 : x
  2. Step 2: Convert to fraction form
    97,100.62/145,615.68 = 33,903/x
  3. Step 3: Cross multiply
    97,100.62x = 145,615.68 × 33,903
  4. Step 4: Simplify right side
    97,100.62x = 4,936,808,399.04
  5. Step 5: Solve for x
    x = 4,936,808,399.04/97,100.62
  6. Step 6: Final answer
    x = 50,842.19

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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.