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Finding the Fourth Proportional to 97,043.22, 133,917.93 and 54,597.78

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Solution

The fourth proportional to 97,043.22, 133,917.93 and 54,597.78 is: 75,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,043.22 : 133,917.93 = 54,597.78 : x
  2. Step 2: Convert to fraction form
    97,043.22/133,917.93 = 54,597.78/x
  3. Step 3: Cross multiply
    97,043.22x = 133,917.93 × 54,597.78
  4. Step 4: Simplify right side
    97,043.22x = 7,311,621,680.20
  5. Step 5: Solve for x
    x = 7,311,621,680.20/97,043.22
  6. Step 6: Final answer
    x = 75,343.97

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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.