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Finding the Fourth Proportional to 38,893.52, 53,745.72 and 31,817.36

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Solution

The fourth proportional to 38,893.52, 53,745.72 and 31,817.36 is: 43,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,893.52 : 53,745.72 = 31,817.36 : x
  2. Step 2: Convert to fraction form
    38,893.52/53,745.72 = 31,817.36/x
  3. Step 3: Cross multiply
    38,893.52x = 53,745.72 × 31,817.36
  4. Step 4: Simplify right side
    38,893.52x = 1,710,046,921.70
  5. Step 5: Solve for x
    x = 1,710,046,921.70/38,893.52
  6. Step 6: Final answer
    x = 43,967.40

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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.