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Finding the Fourth Proportional to 82,171.98, 113,387.58 and 46,359.90

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Solution

The fourth proportional to 82,171.98, 113,387.58 and 46,359.90 is: 63,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,171.98 : 113,387.58 = 46,359.90 : x
  2. Step 2: Convert to fraction form
    82,171.98/113,387.58 = 46,359.90/x
  3. Step 3: Cross multiply
    82,171.98x = 113,387.58 × 46,359.90
  4. Step 4: Simplify right side
    82,171.98x = 5,256,636,870.04
  5. Step 5: Solve for x
    x = 5,256,636,870.04/82,171.98
  6. Step 6: Final answer
    x = 63,971.16

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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.