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Finding the Fourth Proportional to 65,652.85, 98,469.55 and 21,283.48

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Solution

The fourth proportional to 65,652.85, 98,469.55 and 21,283.48 is: 31,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,652.85 : 98,469.55 = 21,283.48 : x
  2. Step 2: Convert to fraction form
    65,652.85/98,469.55 = 21,283.48/x
  3. Step 3: Cross multiply
    65,652.85x = 98,469.55 × 21,283.48
  4. Step 4: Simplify right side
    65,652.85x = 2,095,774,698.03
  5. Step 5: Solve for x
    x = 2,095,774,698.03/65,652.85
  6. Step 6: Final answer
    x = 31,922.07

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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.