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Finding the Fourth Proportional to 65,456.50, 90,329.98 and 35,648.50

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Solution

The fourth proportional to 65,456.50, 90,329.98 and 35,648.50 is: 49,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,456.50 : 90,329.98 = 35,648.50 : x
  2. Step 2: Convert to fraction form
    65,456.50/90,329.98 = 35,648.50/x
  3. Step 3: Cross multiply
    65,456.50x = 90,329.98 × 35,648.50
  4. Step 4: Simplify right side
    65,456.50x = 3,220,128,292.03
  5. Step 5: Solve for x
    x = 3,220,128,292.03/65,456.50
  6. Step 6: Final answer
    x = 49,194.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.