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Finding the Fourth Proportional to 65,493.69, 98,158.32 and 28,009.67

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Solution

The fourth proportional to 65,493.69, 98,158.32 and 28,009.67 is: 41,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,493.69 : 98,158.32 = 28,009.67 : x
  2. Step 2: Convert to fraction form
    65,493.69/98,158.32 = 28,009.67/x
  3. Step 3: Cross multiply
    65,493.69x = 98,158.32 × 28,009.67
  4. Step 4: Simplify right side
    65,493.69x = 2,749,382,150.95
  5. Step 5: Solve for x
    x = 2,749,382,150.95/65,493.69
  6. Step 6: Final answer
    x = 41,979.34

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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.