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Finding the Fourth Proportional to 97,953.60, 135,174.72 and 53,241.60

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Solution

The fourth proportional to 97,953.60, 135,174.72 and 53,241.60 is: 73,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,953.60 : 135,174.72 = 53,241.60 : x
  2. Step 2: Convert to fraction form
    97,953.60/135,174.72 = 53,241.60/x
  3. Step 3: Cross multiply
    97,953.60x = 135,174.72 × 53,241.60
  4. Step 4: Simplify right side
    97,953.60x = 7,196,918,372.35
  5. Step 5: Solve for x
    x = 7,196,918,372.35/97,953.60
  6. Step 6: Final answer
    x = 73,472.73

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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.