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Finding the Fourth Proportional to 51,000.49, 76,389.76 and 24,649.75

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Solution

The fourth proportional to 51,000.49, 76,389.76 and 24,649.75 is: 36,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,000.49 : 76,389.76 = 24,649.75 : x
  2. Step 2: Convert to fraction form
    51,000.49/76,389.76 = 24,649.75/x
  3. Step 3: Cross multiply
    51,000.49x = 76,389.76 × 24,649.75
  4. Step 4: Simplify right side
    51,000.49x = 1,882,988,486.56
  5. Step 5: Solve for x
    x = 1,882,988,486.56/51,000.49
  6. Step 6: Final answer
    x = 36,920.99

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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.