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Finding the Fourth Proportional to 76,610.94, 114,916.44 and 24,024.54

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Solution

The fourth proportional to 76,610.94, 114,916.44 and 24,024.54 is: 36,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,610.94 : 114,916.44 = 24,024.54 : x
  2. Step 2: Convert to fraction form
    76,610.94/114,916.44 = 24,024.54/x
  3. Step 3: Cross multiply
    76,610.94x = 114,916.44 × 24,024.54
  4. Step 4: Simplify right side
    76,610.94x = 2,760,814,609.44
  5. Step 5: Solve for x
    x = 2,760,814,609.44/76,610.94
  6. Step 6: Final answer
    x = 36,036.82

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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.