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Finding the Fourth Proportional to 47,321.60, 65,303.24 and 25,811.28

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Solution

The fourth proportional to 47,321.60, 65,303.24 and 25,811.28 is: 35,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321.60 : 65,303.24 = 25,811.28 : x
  2. Step 2: Convert to fraction form
    47,321.60/65,303.24 = 25,811.28/x
  3. Step 3: Cross multiply
    47,321.60x = 65,303.24 × 25,811.28
  4. Step 4: Simplify right side
    47,321.60x = 1,685,560,083.49
  5. Step 5: Solve for x
    x = 1,685,560,083.49/47,321.60
  6. Step 6: Final answer
    x = 35,619.26

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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.