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Finding the Fourth Proportional to 82,146.48, 113,362.10 and 44,420.73

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Solution

The fourth proportional to 82,146.48, 113,362.10 and 44,420.73 is: 61,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,146.48 : 113,362.10 = 44,420.73 : x
  2. Step 2: Convert to fraction form
    82,146.48/113,362.10 = 44,420.73/x
  3. Step 3: Cross multiply
    82,146.48x = 113,362.10 × 44,420.73
  4. Step 4: Simplify right side
    82,146.48x = 5,035,627,347.38
  5. Step 5: Solve for x
    x = 5,035,627,347.38/82,146.48
  6. Step 6: Final answer
    x = 61,300.59

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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.