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Finding the Fourth Proportional to 65,380.50, 98,085.33 and 23,827.50

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Solution

The fourth proportional to 65,380.50, 98,085.33 and 23,827.50 is: 35,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,380.50 : 98,085.33 = 23,827.50 : x
  2. Step 2: Convert to fraction form
    65,380.50/98,085.33 = 23,827.50/x
  3. Step 3: Cross multiply
    65,380.50x = 98,085.33 × 23,827.50
  4. Step 4: Simplify right side
    65,380.50x = 2,337,128,200.58
  5. Step 5: Solve for x
    x = 2,337,128,200.58/65,380.50
  6. Step 6: Final answer
    x = 35,746.56

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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.