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Finding the Fourth Proportional to 33,714.18, 46,543.06 and 24,629.34

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Solution

The fourth proportional to 33,714.18, 46,543.06 and 24,629.34 is: 34,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.18 : 46,543.06 = 24,629.34 : x
  2. Step 2: Convert to fraction form
    33,714.18/46,543.06 = 24,629.34/x
  3. Step 3: Cross multiply
    33,714.18x = 46,543.06 × 24,629.34
  4. Step 4: Simplify right side
    33,714.18x = 1,146,325,054.70
  5. Step 5: Solve for x
    x = 1,146,325,054.70/33,714.18
  6. Step 6: Final answer
    x = 34,001.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.