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Finding the Fourth Proportional to 65,013.50, 97,556.70 and 64,517.78

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Solution

The fourth proportional to 65,013.50, 97,556.70 and 64,517.78 is: 96,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.50 : 97,556.70 = 64,517.78 : x
  2. Step 2: Convert to fraction form
    65,013.50/97,556.70 = 64,517.78/x
  3. Step 3: Cross multiply
    65,013.50x = 97,556.70 × 64,517.78
  4. Step 4: Simplify right side
    65,013.50x = 6,294,141,708.13
  5. Step 5: Solve for x
    x = 6,294,141,708.13/65,013.50
  6. Step 6: Final answer
    x = 96,812.84

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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.