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Finding the Fourth Proportional to 65,052.75, 89,772.80 and 35,244.75

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Solution

The fourth proportional to 65,052.75, 89,772.80 and 35,244.75 is: 48,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.75 : 89,772.80 = 35,244.75 : x
  2. Step 2: Convert to fraction form
    65,052.75/89,772.80 = 35,244.75/x
  3. Step 3: Cross multiply
    65,052.75x = 89,772.80 × 35,244.75
  4. Step 4: Simplify right side
    65,052.75x = 3,164,019,716.58
  5. Step 5: Solve for x
    x = 3,164,019,716.58/65,052.75
  6. Step 6: Final answer
    x = 48,637.76

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Why These Related Problems?

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