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Finding the Fourth Proportional to 76,891.72, 106,105.32 and 44,627.28

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Solution

The fourth proportional to 76,891.72, 106,105.32 and 44,627.28 is: 61,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,891.72 : 106,105.32 = 44,627.28 : x
  2. Step 2: Convert to fraction form
    76,891.72/106,105.32 = 44,627.28/x
  3. Step 3: Cross multiply
    76,891.72x = 106,105.32 × 44,627.28
  4. Step 4: Simplify right side
    76,891.72x = 4,735,191,825.13
  5. Step 5: Solve for x
    x = 4,735,191,825.13/76,891.72
  6. Step 6: Final answer
    x = 61,582.60

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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.