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Finding the Fourth Proportional to 53,631.84, 74,016 and 29,758.32

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Solution

The fourth proportional to 53,631.84, 74,016 and 29,758.32 is: 41,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,631.84 : 74,016 = 29,758.32 : x
  2. Step 2: Convert to fraction form
    53,631.84/74,016 = 29,758.32/x
  3. Step 3: Cross multiply
    53,631.84x = 74,016 × 29,758.32
  4. Step 4: Simplify right side
    53,631.84x = 2,202,591,813.12
  5. Step 5: Solve for x
    x = 2,202,591,813.12/53,631.84
  6. Step 6: Final answer
    x = 41,068.73

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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.