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Finding the Fourth Proportional to 65,236.56, 97,888.32 and 31,956

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Solution

The fourth proportional to 65,236.56, 97,888.32 and 31,956 is: 47,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,236.56 : 97,888.32 = 31,956 : x
  2. Step 2: Convert to fraction form
    65,236.56/97,888.32 = 31,956/x
  3. Step 3: Cross multiply
    65,236.56x = 97,888.32 × 31,956
  4. Step 4: Simplify right side
    65,236.56x = 3,128,119,153.92
  5. Step 5: Solve for x
    x = 3,128,119,153.92/65,236.56
  6. Step 6: Final answer
    x = 47,950.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.