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Finding the Fourth Proportional to 76,754.41, 115,032.24 and 53,024.09

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Solution

The fourth proportional to 76,754.41, 115,032.24 and 53,024.09 is: 79,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754.41 : 115,032.24 = 53,024.09 : x
  2. Step 2: Convert to fraction form
    76,754.41/115,032.24 = 53,024.09/x
  3. Step 3: Cross multiply
    76,754.41x = 115,032.24 × 53,024.09
  4. Step 4: Simplify right side
    76,754.41x = 6,099,479,271.50
  5. Step 5: Solve for x
    x = 6,099,479,271.50/76,754.41
  6. Step 6: Final answer
    x = 79,467.48

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