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Finding the Fourth Proportional to 82,171.36, 113,465.60 and 52,009.89

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Solution

The fourth proportional to 82,171.36, 113,465.60 and 52,009.89 is: 71,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,171.36 : 113,465.60 = 52,009.89 : x
  2. Step 2: Convert to fraction form
    82,171.36/113,465.60 = 52,009.89/x
  3. Step 3: Cross multiply
    82,171.36x = 113,465.60 × 52,009.89
  4. Step 4: Simplify right side
    82,171.36x = 5,901,333,374.78
  5. Step 5: Solve for x
    x = 5,901,333,374.78/82,171.36
  6. Step 6: Final answer
    x = 71,817.40

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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.