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Finding the Fourth Proportional to 73,278, 101,123.64 and 41,446.22

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Solution

The fourth proportional to 73,278, 101,123.64 and 41,446.22 is: 57,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,278 : 101,123.64 = 41,446.22 : x
  2. Step 2: Convert to fraction form
    73,278/101,123.64 = 41,446.22/x
  3. Step 3: Cross multiply
    73,278x = 101,123.64 × 41,446.22
  4. Step 4: Simplify right side
    73,278x = 4,191,192,125.02
  5. Step 5: Solve for x
    x = 4,191,192,125.02/73,278
  6. Step 6: Final answer
    x = 57,195.78

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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.