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Finding the Fourth Proportional to 65,491.96, 98,256 and 26,076.75

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Solution

The fourth proportional to 65,491.96, 98,256 and 26,076.75 is: 39,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,491.96 : 98,256 = 26,076.75 : x
  2. Step 2: Convert to fraction form
    65,491.96/98,256 = 26,076.75/x
  3. Step 3: Cross multiply
    65,491.96x = 98,256 × 26,076.75
  4. Step 4: Simplify right side
    65,491.96x = 2,562,197,148
  5. Step 5: Solve for x
    x = 2,562,197,148/65,491.96
  6. Step 6: Final answer
    x = 39,122.32

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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.