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Finding the Fourth Proportional to 46,170, 63,714.60 and 33,605.28

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Solution

The fourth proportional to 46,170, 63,714.60 and 33,605.28 is: 46,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170 : 63,714.60 = 33,605.28 : x
  2. Step 2: Convert to fraction form
    46,170/63,714.60 = 33,605.28/x
  3. Step 3: Cross multiply
    46,170x = 63,714.60 × 33,605.28
  4. Step 4: Simplify right side
    46,170x = 2,141,146,973.09
  5. Step 5: Solve for x
    x = 2,141,146,973.09/46,170
  6. Step 6: Final answer
    x = 46,375.29

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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.