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Finding the Fourth Proportional to 51,233.94, 76,874.68 and 21,658.68

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Solution

The fourth proportional to 51,233.94, 76,874.68 and 21,658.68 is: 32,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,233.94 : 76,874.68 = 21,658.68 : x
  2. Step 2: Convert to fraction form
    51,233.94/76,874.68 = 21,658.68/x
  3. Step 3: Cross multiply
    51,233.94x = 76,874.68 × 21,658.68
  4. Step 4: Simplify right side
    51,233.94x = 1,665,004,094.22
  5. Step 5: Solve for x
    x = 1,665,004,094.22/51,233.94
  6. Step 6: Final answer
    x = 32,498.07

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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.