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Finding the Fourth Proportional to 53,857.70, 74,320.14 and 29,983.76

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Solution

The fourth proportional to 53,857.70, 74,320.14 and 29,983.76 is: 41,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.70 : 74,320.14 = 29,983.76 : x
  2. Step 2: Convert to fraction form
    53,857.70/74,320.14 = 29,983.76/x
  3. Step 3: Cross multiply
    53,857.70x = 74,320.14 × 29,983.76
  4. Step 4: Simplify right side
    53,857.70x = 2,228,397,240.93
  5. Step 5: Solve for x
    x = 2,228,397,240.93/53,857.70
  6. Step 6: Final answer
    x = 41,375.65

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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.