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Finding the Fourth Proportional to 82,365, 113,675.90 and 52,153.13

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Solution

The fourth proportional to 82,365, 113,675.90 and 52,153.13 is: 71,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365 : 113,675.90 = 52,153.13 : x
  2. Step 2: Convert to fraction form
    82,365/113,675.90 = 52,153.13/x
  3. Step 3: Cross multiply
    82,365x = 113,675.90 × 52,153.13
  4. Step 4: Simplify right side
    82,365x = 5,928,553,161.42
  5. Step 5: Solve for x
    x = 5,928,553,161.42/82,365
  6. Step 6: Final answer
    x = 71,979.03

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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.