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Finding the Fourth Proportional to 46,272.96, 69,395.12 and 16,687

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Solution

The fourth proportional to 46,272.96, 69,395.12 and 16,687 is: 25,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,272.96 : 69,395.12 = 16,687 : x
  2. Step 2: Convert to fraction form
    46,272.96/69,395.12 = 16,687/x
  3. Step 3: Cross multiply
    46,272.96x = 69,395.12 × 16,687
  4. Step 4: Simplify right side
    46,272.96x = 1,157,996,367.44
  5. Step 5: Solve for x
    x = 1,157,996,367.44/46,272.96
  6. Step 6: Final answer
    x = 25,025.34

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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.