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Finding the Fourth Proportional to 75,842.49, 104,491.71 and 52,850.64

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Solution

The fourth proportional to 75,842.49, 104,491.71 and 52,850.64 is: 72,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.49 : 104,491.71 = 52,850.64 : x
  2. Step 2: Convert to fraction form
    75,842.49/104,491.71 = 52,850.64/x
  3. Step 3: Cross multiply
    75,842.49x = 104,491.71 × 52,850.64
  4. Step 4: Simplify right side
    75,842.49x = 5,522,453,748.19
  5. Step 5: Solve for x
    x = 5,522,453,748.19/75,842.49
  6. Step 6: Final answer
    x = 72,814.77

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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.