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Finding the Fourth Proportional to 82,171.14, 113,399.58 and 46,361.01

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Solution

The fourth proportional to 82,171.14, 113,399.58 and 46,361.01 is: 63,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,171.14 : 113,399.58 = 46,361.01 : x
  2. Step 2: Convert to fraction form
    82,171.14/113,399.58 = 46,361.01/x
  3. Step 3: Cross multiply
    82,171.14x = 113,399.58 × 46,361.01
  4. Step 4: Simplify right side
    82,171.14x = 5,257,319,062.38
  5. Step 5: Solve for x
    x = 5,257,319,062.38/82,171.14
  6. Step 6: Final answer
    x = 63,980.12

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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.