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Finding the Fourth Proportional to 76,884, 106,099.92 and 41,556

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Solution

The fourth proportional to 76,884, 106,099.92 and 41,556 is: 57,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884 : 106,099.92 = 41,556 : x
  2. Step 2: Convert to fraction form
    76,884/106,099.92 = 41,556/x
  3. Step 3: Cross multiply
    76,884x = 106,099.92 × 41,556
  4. Step 4: Simplify right side
    76,884x = 4,409,088,275.52
  5. Step 5: Solve for x
    x = 4,409,088,275.52/76,884
  6. Step 6: Final answer
    x = 57,347.28

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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.