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Finding the Fourth Proportional to 53,857.16, 74,321.16 and 29,983.32

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Solution

The fourth proportional to 53,857.16, 74,321.16 and 29,983.32 is: 41,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.16 : 74,321.16 = 29,983.32 : x
  2. Step 2: Convert to fraction form
    53,857.16/74,321.16 = 29,983.32/x
  3. Step 3: Cross multiply
    53,857.16x = 74,321.16 × 29,983.32
  4. Step 4: Simplify right side
    53,857.16x = 2,228,395,123.05
  5. Step 5: Solve for x
    x = 2,228,395,123.05/53,857.16
  6. Step 6: Final answer
    x = 41,376.02

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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.