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Finding the Fourth Proportional to 65,978.89, 98,966.94 and 16,059.27

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Solution

The fourth proportional to 65,978.89, 98,966.94 and 16,059.27 is: 24,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,978.89 : 98,966.94 = 16,059.27 : x
  2. Step 2: Convert to fraction form
    65,978.89/98,966.94 = 16,059.27/x
  3. Step 3: Cross multiply
    65,978.89x = 98,966.94 × 16,059.27
  4. Step 4: Simplify right side
    65,978.89x = 1,589,336,355.85
  5. Step 5: Solve for x
    x = 1,589,336,355.85/65,978.89
  6. Step 6: Final answer
    x = 24,088.56

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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.