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Finding the Fourth Proportional to 82,101, 123,164.64 and 34,716.60

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Solution

The fourth proportional to 82,101, 123,164.64 and 34,716.60 is: 52,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,101 : 123,164.64 = 34,716.60 : x
  2. Step 2: Convert to fraction form
    82,101/123,164.64 = 34,716.60/x
  3. Step 3: Cross multiply
    82,101x = 123,164.64 × 34,716.60
  4. Step 4: Simplify right side
    82,101x = 4,275,857,541.02
  5. Step 5: Solve for x
    x = 4,275,857,541.02/82,101
  6. Step 6: Final answer
    x = 52,080.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.