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Finding the Fourth Proportional to 69,723.60, 96,178.50 and 42,846.99

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Solution

The fourth proportional to 69,723.60, 96,178.50 and 42,846.99 is: 59,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,723.60 : 96,178.50 = 42,846.99 : x
  2. Step 2: Convert to fraction form
    69,723.60/96,178.50 = 42,846.99/x
  3. Step 3: Cross multiply
    69,723.60x = 96,178.50 × 42,846.99
  4. Step 4: Simplify right side
    69,723.60x = 4,120,959,227.72
  5. Step 5: Solve for x
    x = 4,120,959,227.72/69,723.60
  6. Step 6: Final answer
    x = 59,104.22

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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.