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Finding the Fourth Proportional to 51,702.96, 77,505.12 and 16,617.96

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Solution

The fourth proportional to 51,702.96, 77,505.12 and 16,617.96 is: 24,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.96 : 77,505.12 = 16,617.96 : x
  2. Step 2: Convert to fraction form
    51,702.96/77,505.12 = 16,617.96/x
  3. Step 3: Cross multiply
    51,702.96x = 77,505.12 × 16,617.96
  4. Step 4: Simplify right side
    51,702.96x = 1,287,976,983.96
  5. Step 5: Solve for x
    x = 1,287,976,983.96/51,702.96
  6. Step 6: Final answer
    x = 24,911.09

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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.