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Finding the Fourth Proportional to 65,688, 98,544.96 and 33,586.08

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Solution

The fourth proportional to 65,688, 98,544.96 and 33,586.08 is: 50,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,688 : 98,544.96 = 33,586.08 : x
  2. Step 2: Convert to fraction form
    65,688/98,544.96 = 33,586.08/x
  3. Step 3: Cross multiply
    65,688x = 98,544.96 × 33,586.08
  4. Step 4: Simplify right side
    65,688x = 3,309,738,910.16
  5. Step 5: Solve for x
    x = 3,309,738,910.16/65,688
  6. Step 6: Final answer
    x = 50,385.75

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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.