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Finding the Fourth Proportional to 50,704.67, 69,972 and 28,045.32

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Solution

The fourth proportional to 50,704.67, 69,972 and 28,045.32 is: 38,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,704.67 : 69,972 = 28,045.32 : x
  2. Step 2: Convert to fraction form
    50,704.67/69,972 = 28,045.32/x
  3. Step 3: Cross multiply
    50,704.67x = 69,972 × 28,045.32
  4. Step 4: Simplify right side
    50,704.67x = 1,962,387,131.04
  5. Step 5: Solve for x
    x = 1,962,387,131.04/50,704.67
  6. Step 6: Final answer
    x = 38,702.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.