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Finding the Fourth Proportional to 82,361, 113,670.38 and 52,149.13

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Solution

The fourth proportional to 82,361, 113,670.38 and 52,149.13 is: 71,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,361 : 113,670.38 = 52,149.13 : x
  2. Step 2: Convert to fraction form
    82,361/113,670.38 = 52,149.13/x
  3. Step 3: Cross multiply
    82,361x = 113,670.38 × 52,149.13
  4. Step 4: Simplify right side
    82,361x = 5,927,811,423.77
  5. Step 5: Solve for x
    x = 5,927,811,423.77/82,361
  6. Step 6: Final answer
    x = 71,973.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.