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Finding the Fourth Proportional to 82,225.29, 113,470.91 and 44,499.54

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Solution

The fourth proportional to 82,225.29, 113,470.91 and 44,499.54 is: 61,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225.29 : 113,470.91 = 44,499.54 : x
  2. Step 2: Convert to fraction form
    82,225.29/113,470.91 = 44,499.54/x
  3. Step 3: Cross multiply
    82,225.29x = 113,470.91 × 44,499.54
  4. Step 4: Simplify right side
    82,225.29x = 5,049,403,298.38
  5. Step 5: Solve for x
    x = 5,049,403,298.38/82,225.29
  6. Step 6: Final answer
    x = 61,409.37

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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.