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Finding the Fourth Proportional to 75,838.85, 104,678.43 and 44,018

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Solution

The fourth proportional to 75,838.85, 104,678.43 and 44,018 is: 60,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,838.85 : 104,678.43 = 44,018 : x
  2. Step 2: Convert to fraction form
    75,838.85/104,678.43 = 44,018/x
  3. Step 3: Cross multiply
    75,838.85x = 104,678.43 × 44,018
  4. Step 4: Simplify right side
    75,838.85x = 4,607,735,131.74
  5. Step 5: Solve for x
    x = 4,607,735,131.74/75,838.85
  6. Step 6: Final answer
    x = 60,756.92

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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.