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Finding the Fourth Proportional to 82,420.56, 113,767.20 and 48,428.46

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Solution

The fourth proportional to 82,420.56, 113,767.20 and 48,428.46 is: 66,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420.56 : 113,767.20 = 48,428.46 : x
  2. Step 2: Convert to fraction form
    82,420.56/113,767.20 = 48,428.46/x
  3. Step 3: Cross multiply
    82,420.56x = 113,767.20 × 48,428.46
  4. Step 4: Simplify right side
    82,420.56x = 5,509,570,294.51
  5. Step 5: Solve for x
    x = 5,509,570,294.51/82,420.56
  6. Step 6: Final answer
    x = 66,847.04

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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.