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Finding the Fourth Proportional to 64,381.81, 96,597.32 and 24,942

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Solution

The fourth proportional to 64,381.81, 96,597.32 and 24,942 is: 37,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,381.81 : 96,597.32 = 24,942 : x
  2. Step 2: Convert to fraction form
    64,381.81/96,597.32 = 24,942/x
  3. Step 3: Cross multiply
    64,381.81x = 96,597.32 × 24,942
  4. Step 4: Simplify right side
    64,381.81x = 2,409,330,355.44
  5. Step 5: Solve for x
    x = 2,409,330,355.44/64,381.81
  6. Step 6: Final answer
    x = 37,422.53

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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.