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Finding the Fourth Proportional to 65,283.20, 90,085.32 and 36,209.80

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Solution

The fourth proportional to 65,283.20, 90,085.32 and 36,209.80 is: 49,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,283.20 : 90,085.32 = 36,209.80 : x
  2. Step 2: Convert to fraction form
    65,283.20/90,085.32 = 36,209.80/x
  3. Step 3: Cross multiply
    65,283.20x = 90,085.32 × 36,209.80
  4. Step 4: Simplify right side
    65,283.20x = 3,261,971,420.14
  5. Step 5: Solve for x
    x = 3,261,971,420.14/65,283.20
  6. Step 6: Final answer
    x = 49,966.48

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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.