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Finding the Fourth Proportional to 53,856.96, 74,322.57 and 31,197.21

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Solution

The fourth proportional to 53,856.96, 74,322.57 and 31,197.21 is: 43,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.96 : 74,322.57 = 31,197.21 : x
  2. Step 2: Convert to fraction form
    53,856.96/74,322.57 = 31,197.21/x
  3. Step 3: Cross multiply
    53,856.96x = 74,322.57 × 31,197.21
  4. Step 4: Simplify right side
    53,856.96x = 2,318,656,824.03
  5. Step 5: Solve for x
    x = 2,318,656,824.03/53,856.96
  6. Step 6: Final answer
    x = 43,052.13

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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.