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Finding the Fourth Proportional to 82,527.89, 113,941.41 and 56,729.34

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Solution

The fourth proportional to 82,527.89, 113,941.41 and 56,729.34 is: 78,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,527.89 : 113,941.41 = 56,729.34 : x
  2. Step 2: Convert to fraction form
    82,527.89/113,941.41 = 56,729.34/x
  3. Step 3: Cross multiply
    82,527.89x = 113,941.41 × 56,729.34
  4. Step 4: Simplify right side
    82,527.89x = 6,463,820,614.33
  5. Step 5: Solve for x
    x = 6,463,820,614.33/82,527.89
  6. Step 6: Final answer
    x = 78,322.86

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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.