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Finding the Fourth Proportional to 76,861, 106,068.18 and 41,533

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Solution

The fourth proportional to 76,861, 106,068.18 and 41,533 is: 57,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,861 : 106,068.18 = 41,533 : x
  2. Step 2: Convert to fraction form
    76,861/106,068.18 = 41,533/x
  3. Step 3: Cross multiply
    76,861x = 106,068.18 × 41,533
  4. Step 4: Simplify right side
    76,861x = 4,405,329,719.94
  5. Step 5: Solve for x
    x = 4,405,329,719.94/76,861
  6. Step 6: Final answer
    x = 57,315.54

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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.