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Finding the Fourth Proportional to 97,855.20, 135,043.20 and 55,412.80

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Solution

The fourth proportional to 97,855.20, 135,043.20 and 55,412.80 is: 76,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,855.20 : 135,043.20 = 55,412.80 : x
  2. Step 2: Convert to fraction form
    97,855.20/135,043.20 = 55,412.80/x
  3. Step 3: Cross multiply
    97,855.20x = 135,043.20 × 55,412.80
  4. Step 4: Simplify right side
    97,855.20x = 7,483,121,832.96
  5. Step 5: Solve for x
    x = 7,483,121,832.96/97,855.20
  6. Step 6: Final answer
    x = 76,471.38

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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.