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Finding the Fourth Proportional to 75,546.57, 113,769.51 and 65,803.50

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Solution

The fourth proportional to 75,546.57, 113,769.51 and 65,803.50 is: 99,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,546.57 : 113,769.51 = 65,803.50 : x
  2. Step 2: Convert to fraction form
    75,546.57/113,769.51 = 65,803.50/x
  3. Step 3: Cross multiply
    75,546.57x = 113,769.51 × 65,803.50
  4. Step 4: Simplify right side
    75,546.57x = 7,486,431,951.29
  5. Step 5: Solve for x
    x = 7,486,431,951.29/75,546.57
  6. Step 6: Final answer
    x = 99,096.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.