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Finding the Fourth Proportional to 65,491.46, 98,255.25 and 26,076.25

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Solution

The fourth proportional to 65,491.46, 98,255.25 and 26,076.25 is: 39,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,491.46 : 98,255.25 = 26,076.25 : x
  2. Step 2: Convert to fraction form
    65,491.46/98,255.25 = 26,076.25/x
  3. Step 3: Cross multiply
    65,491.46x = 98,255.25 × 26,076.25
  4. Step 4: Simplify right side
    65,491.46x = 2,562,128,332.43
  5. Step 5: Solve for x
    x = 2,562,128,332.43/65,491.46
  6. Step 6: Final answer
    x = 39,121.56

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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.