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Finding the Fourth Proportional to 82,188, 113,420.25 and 44,463.06

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Solution

The fourth proportional to 82,188, 113,420.25 and 44,463.06 is: 61,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,188 : 113,420.25 = 44,463.06 : x
  2. Step 2: Convert to fraction form
    82,188/113,420.25 = 44,463.06/x
  3. Step 3: Cross multiply
    82,188x = 113,420.25 × 44,463.06
  4. Step 4: Simplify right side
    82,188x = 5,043,011,380.97
  5. Step 5: Solve for x
    x = 5,043,011,380.97/82,188
  6. Step 6: Final answer
    x = 61,359.46

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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.