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Finding the Fourth Proportional to 65,978.70, 98,966.67 and 16,059.08

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Solution

The fourth proportional to 65,978.70, 98,966.67 and 16,059.08 is: 24,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,978.70 : 98,966.67 = 16,059.08 : x
  2. Step 2: Convert to fraction form
    65,978.70/98,966.67 = 16,059.08/x
  3. Step 3: Cross multiply
    65,978.70x = 98,966.67 × 16,059.08
  4. Step 4: Simplify right side
    65,978.70x = 1,589,313,095.73
  5. Step 5: Solve for x
    x = 1,589,313,095.73/65,978.70
  6. Step 6: Final answer
    x = 24,088.28

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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.