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Finding the Fourth Proportional to 53,856.86, 74,321.13 and 29,983.01

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Solution

The fourth proportional to 53,856.86, 74,321.13 and 29,983.01 is: 41,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.86 : 74,321.13 = 29,983.01 : x
  2. Step 2: Convert to fraction form
    53,856.86/74,321.13 = 29,983.01/x
  3. Step 3: Cross multiply
    53,856.86x = 74,321.13 × 29,983.01
  4. Step 4: Simplify right side
    53,856.86x = 2,228,370,812.40
  5. Step 5: Solve for x
    x = 2,228,370,812.40/53,856.86
  6. Step 6: Final answer
    x = 41,375.81

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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.