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Finding the Fourth Proportional to 76,325.48, 114,469.52 and 59,644.12

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Solution

The fourth proportional to 76,325.48, 114,469.52 and 59,644.12 is: 89,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,325.48 : 114,469.52 = 59,644.12 : x
  2. Step 2: Convert to fraction form
    76,325.48/114,469.52 = 59,644.12/x
  3. Step 3: Cross multiply
    76,325.48x = 114,469.52 × 59,644.12
  4. Step 4: Simplify right side
    76,325.48x = 6,827,433,787.22
  5. Step 5: Solve for x
    x = 6,827,433,787.22/76,325.48
  6. Step 6: Final answer
    x = 89,451.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.