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Finding the Fourth Proportional to 82,912.64, 114,415.68 and 45,185.60

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Solution

The fourth proportional to 82,912.64, 114,415.68 and 45,185.60 is: 62,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.64 : 114,415.68 = 45,185.60 : x
  2. Step 2: Convert to fraction form
    82,912.64/114,415.68 = 45,185.60/x
  3. Step 3: Cross multiply
    82,912.64x = 114,415.68 × 45,185.60
  4. Step 4: Simplify right side
    82,912.64x = 5,169,941,150.21
  5. Step 5: Solve for x
    x = 5,169,941,150.21/82,912.64
  6. Step 6: Final answer
    x = 62,354.08

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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.