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Finding the Fourth Proportional to 82,129.77, 113,342.94 and 46,319.04

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Solution

The fourth proportional to 82,129.77, 113,342.94 and 46,319.04 is: 63,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,129.77 : 113,342.94 = 46,319.04 : x
  2. Step 2: Convert to fraction form
    82,129.77/113,342.94 = 46,319.04/x
  3. Step 3: Cross multiply
    82,129.77x = 113,342.94 × 46,319.04
  4. Step 4: Simplify right side
    82,129.77x = 5,249,936,171.58
  5. Step 5: Solve for x
    x = 5,249,936,171.58/82,129.77
  6. Step 6: Final answer
    x = 63,922.45

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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.