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Finding the Fourth Proportional to 65,076.75, 97,615.26 and 15,828.75

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Solution

The fourth proportional to 65,076.75, 97,615.26 and 15,828.75 is: 23,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,076.75 : 97,615.26 = 15,828.75 : x
  2. Step 2: Convert to fraction form
    65,076.75/97,615.26 = 15,828.75/x
  3. Step 3: Cross multiply
    65,076.75x = 97,615.26 × 15,828.75
  4. Step 4: Simplify right side
    65,076.75x = 1,545,127,546.73
  5. Step 5: Solve for x
    x = 1,545,127,546.73/65,076.75
  6. Step 6: Final answer
    x = 23,743.16

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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.