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Finding the Fourth Proportional to 53,856.72, 74,325.22 and 29,982.87

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Solution

The fourth proportional to 53,856.72, 74,325.22 and 29,982.87 is: 41,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.72 : 74,325.22 = 29,982.87 : x
  2. Step 2: Convert to fraction form
    53,856.72/74,325.22 = 29,982.87/x
  3. Step 3: Cross multiply
    53,856.72x = 74,325.22 × 29,982.87
  4. Step 4: Simplify right side
    53,856.72x = 2,228,483,334.02
  5. Step 5: Solve for x
    x = 2,228,483,334.02/53,856.72
  6. Step 6: Final answer
    x = 41,378.00

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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.