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Finding the Fourth Proportional to 75,722.63, 104,497.94 and 41,732.34

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Solution

The fourth proportional to 75,722.63, 104,497.94 and 41,732.34 is: 57,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,722.63 : 104,497.94 = 41,732.34 : x
  2. Step 2: Convert to fraction form
    75,722.63/104,497.94 = 41,732.34/x
  3. Step 3: Cross multiply
    75,722.63x = 104,497.94 × 41,732.34
  4. Step 4: Simplify right side
    75,722.63x = 4,360,943,561.38
  5. Step 5: Solve for x
    x = 4,360,943,561.38/75,722.63
  6. Step 6: Final answer
    x = 57,591.02

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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.