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Finding the Fourth Proportional to 35,791.34, 53,702.16 and 19,147

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Solution

The fourth proportional to 35,791.34, 53,702.16 and 19,147 is: 28,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,791.34 : 53,702.16 = 19,147 : x
  2. Step 2: Convert to fraction form
    35,791.34/53,702.16 = 19,147/x
  3. Step 3: Cross multiply
    35,791.34x = 53,702.16 × 19,147
  4. Step 4: Simplify right side
    35,791.34x = 1,028,235,257.52
  5. Step 5: Solve for x
    x = 1,028,235,257.52/35,791.34
  6. Step 6: Final answer
    x = 28,728.60

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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.