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Finding the Fourth Proportional to 38,592, 57,887.31 and 10,511.60

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Solution

The fourth proportional to 38,592, 57,887.31 and 10,511.60 is: 15,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,592 : 57,887.31 = 10,511.60 : x
  2. Step 2: Convert to fraction form
    38,592/57,887.31 = 10,511.60/x
  3. Step 3: Cross multiply
    38,592x = 57,887.31 × 10,511.60
  4. Step 4: Simplify right side
    38,592x = 608,487,958.36
  5. Step 5: Solve for x
    x = 608,487,958.36/38,592
  6. Step 6: Final answer
    x = 15,767.20

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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.