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Finding the Fourth Proportional to 43,829.76, 65,747.52 and 15,755.52

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Solution

The fourth proportional to 43,829.76, 65,747.52 and 15,755.52 is: 23,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,829.76 : 65,747.52 = 15,755.52 : x
  2. Step 2: Convert to fraction form
    43,829.76/65,747.52 = 15,755.52/x
  3. Step 3: Cross multiply
    43,829.76x = 65,747.52 × 15,755.52
  4. Step 4: Simplify right side
    43,829.76x = 1,035,886,366.31
  5. Step 5: Solve for x
    x = 1,035,886,366.31/43,829.76
  6. Step 6: Final answer
    x = 23,634.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.