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Finding the Fourth Proportional to 53,714.57, 74,127.78 and 29,843.15

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Solution

The fourth proportional to 53,714.57, 74,127.78 and 29,843.15 is: 41,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,714.57 : 74,127.78 = 29,843.15 : x
  2. Step 2: Convert to fraction form
    53,714.57/74,127.78 = 29,843.15/x
  3. Step 3: Cross multiply
    53,714.57x = 74,127.78 × 29,843.15
  4. Step 4: Simplify right side
    53,714.57x = 2,212,206,087.07
  5. Step 5: Solve for x
    x = 2,212,206,087.07/53,714.57
  6. Step 6: Final answer
    x = 41,184.47

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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.