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Finding the Fourth Proportional to 69,505.16, 95,846.82 and 61,824.20

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Solution

The fourth proportional to 69,505.16, 95,846.82 and 61,824.20 is: 85,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,505.16 : 95,846.82 = 61,824.20 : x
  2. Step 2: Convert to fraction form
    69,505.16/95,846.82 = 61,824.20/x
  3. Step 3: Cross multiply
    69,505.16x = 95,846.82 × 61,824.20
  4. Step 4: Simplify right side
    69,505.16x = 5,925,652,969.04
  5. Step 5: Solve for x
    x = 5,925,652,969.04/69,505.16
  6. Step 6: Final answer
    x = 85,254.86

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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.