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Finding the Fourth Proportional to 75,730.00, 104,503.14 and 41,738.38

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Solution

The fourth proportional to 75,730.00, 104,503.14 and 41,738.38 is: 57,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,730.00 : 104,503.14 = 41,738.38 : x
  2. Step 2: Convert to fraction form
    75,730.00/104,503.14 = 41,738.38/x
  3. Step 3: Cross multiply
    75,730.00x = 104,503.14 × 41,738.38
  4. Step 4: Simplify right side
    75,730.00x = 4,361,791,242.91
  5. Step 5: Solve for x
    x = 4,361,791,242.91/75,730.00
  6. Step 6: Final answer
    x = 57,596.61

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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.