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Finding the Fourth Proportional to 82,438.86, 113,729.50 and 48,432

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Solution

The fourth proportional to 82,438.86, 113,729.50 and 48,432 is: 66,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,438.86 : 113,729.50 = 48,432 : x
  2. Step 2: Convert to fraction form
    82,438.86/113,729.50 = 48,432/x
  3. Step 3: Cross multiply
    82,438.86x = 113,729.50 × 48,432
  4. Step 4: Simplify right side
    82,438.86x = 5,508,147,144
  5. Step 5: Solve for x
    x = 5,508,147,144/82,438.86
  6. Step 6: Final answer
    x = 66,814.94

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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.