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Finding the Fourth Proportional to 75,846.65, 104,667.36 and 41,854.28

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Solution

The fourth proportional to 75,846.65, 104,667.36 and 41,854.28 is: 57,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.65 : 104,667.36 = 41,854.28 : x
  2. Step 2: Convert to fraction form
    75,846.65/104,667.36 = 41,854.28/x
  3. Step 3: Cross multiply
    75,846.65x = 104,667.36 × 41,854.28
  4. Step 4: Simplify right side
    75,846.65x = 4,380,776,992.30
  5. Step 5: Solve for x
    x = 4,380,776,992.30/75,846.65
  6. Step 6: Final answer
    x = 57,758.35

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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.