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Finding the Fourth Proportional to 65,692, 98,550.96 and 33,590.08

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Solution

The fourth proportional to 65,692, 98,550.96 and 33,590.08 is: 50,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692 : 98,550.96 = 33,590.08 : x
  2. Step 2: Convert to fraction form
    65,692/98,550.96 = 33,590.08/x
  3. Step 3: Cross multiply
    65,692x = 98,550.96 × 33,590.08
  4. Step 4: Simplify right side
    65,692x = 3,310,334,630.48
  5. Step 5: Solve for x
    x = 3,310,334,630.48/65,692
  6. Step 6: Final answer
    x = 50,391.75

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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.