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Finding the Fourth Proportional to 71,653.82, 98,874.40 and 41,434.56

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Solution

The fourth proportional to 71,653.82, 98,874.40 and 41,434.56 is: 57,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,653.82 : 98,874.40 = 41,434.56 : x
  2. Step 2: Convert to fraction form
    71,653.82/98,874.40 = 41,434.56/x
  3. Step 3: Cross multiply
    71,653.82x = 98,874.40 × 41,434.56
  4. Step 4: Simplify right side
    71,653.82x = 4,096,817,259.26
  5. Step 5: Solve for x
    x = 4,096,817,259.26/71,653.82
  6. Step 6: Final answer
    x = 57,175.14

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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.