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Finding the Fourth Proportional to 51,703.89, 77,563.12 and 18,414.10

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Solution

The fourth proportional to 51,703.89, 77,563.12 and 18,414.10 is: 27,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.89 : 77,563.12 = 18,414.10 : x
  2. Step 2: Convert to fraction form
    51,703.89/77,563.12 = 18,414.10/x
  3. Step 3: Cross multiply
    51,703.89x = 77,563.12 × 18,414.10
  4. Step 4: Simplify right side
    51,703.89x = 1,428,255,133.44
  5. Step 5: Solve for x
    x = 1,428,255,133.44/51,703.89
  6. Step 6: Final answer
    x = 27,623.75

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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.