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Finding the Fourth Proportional to 73,715.62, 101,731.10 and 41,460.34

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Solution

The fourth proportional to 73,715.62, 101,731.10 and 41,460.34 is: 57,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,715.62 : 101,731.10 = 41,460.34 : x
  2. Step 2: Convert to fraction form
    73,715.62/101,731.10 = 41,460.34/x
  3. Step 3: Cross multiply
    73,715.62x = 101,731.10 × 41,460.34
  4. Step 4: Simplify right side
    73,715.62x = 4,217,805,278.62
  5. Step 5: Solve for x
    x = 4,217,805,278.62/73,715.62
  6. Step 6: Final answer
    x = 57,217.26

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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.