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Finding the Fourth Proportional to 53,859.84, 74,319.26 and 29,983.28

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Solution

The fourth proportional to 53,859.84, 74,319.26 and 29,983.28 is: 41,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859.84 : 74,319.26 = 29,983.28 : x
  2. Step 2: Convert to fraction form
    53,859.84/74,319.26 = 29,983.28/x
  3. Step 3: Cross multiply
    53,859.84x = 74,319.26 × 29,983.28
  4. Step 4: Simplify right side
    53,859.84x = 2,228,335,181.97
  5. Step 5: Solve for x
    x = 2,228,335,181.97/53,859.84
  6. Step 6: Final answer
    x = 41,372.85

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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.