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Finding the Fourth Proportional to 64,736.96, 97,143.10 and 27,294.70

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Solution

The fourth proportional to 64,736.96, 97,143.10 and 27,294.70 is: 40,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736.96 : 97,143.10 = 27,294.70 : x
  2. Step 2: Convert to fraction form
    64,736.96/97,143.10 = 27,294.70/x
  3. Step 3: Cross multiply
    64,736.96x = 97,143.10 × 27,294.70
  4. Step 4: Simplify right side
    64,736.96x = 2,651,491,771.57
  5. Step 5: Solve for x
    x = 2,651,491,771.57/64,736.96
  6. Step 6: Final answer
    x = 40,957.93

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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.