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Finding the Fourth Proportional to 51,703.93, 77,563.23 and 16,635.43

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Solution

The fourth proportional to 51,703.93, 77,563.23 and 16,635.43 is: 24,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.93 : 77,563.23 = 16,635.43 : x
  2. Step 2: Convert to fraction form
    51,703.93/77,563.23 = 16,635.43/x
  3. Step 3: Cross multiply
    51,703.93x = 77,563.23 × 16,635.43
  4. Step 4: Simplify right side
    51,703.93x = 1,290,297,683.24
  5. Step 5: Solve for x
    x = 1,290,297,683.24/51,703.93
  6. Step 6: Final answer
    x = 24,955.50

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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.