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Finding the Fourth Proportional to 82,315.12, 113,588.96 and 48,325

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Solution

The fourth proportional to 82,315.12, 113,588.96 and 48,325 is: 66,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,315.12 : 113,588.96 = 48,325 : x
  2. Step 2: Convert to fraction form
    82,315.12/113,588.96 = 48,325/x
  3. Step 3: Cross multiply
    82,315.12x = 113,588.96 × 48,325
  4. Step 4: Simplify right side
    82,315.12x = 5,489,186,492
  5. Step 5: Solve for x
    x = 5,489,186,492/82,315.12
  6. Step 6: Final answer
    x = 66,685.03

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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.