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Finding the Fourth Proportional to 82,232.54, 113,480.91 and 44,506.79

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Solution

The fourth proportional to 82,232.54, 113,480.91 and 44,506.79 is: 61,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,232.54 : 113,480.91 = 44,506.79 : x
  2. Step 2: Convert to fraction form
    82,232.54/113,480.91 = 44,506.79/x
  3. Step 3: Cross multiply
    82,232.54x = 113,480.91 × 44,506.79
  4. Step 4: Simplify right side
    82,232.54x = 5,050,671,030.38
  5. Step 5: Solve for x
    x = 5,050,671,030.38/82,232.54
  6. Step 6: Final answer
    x = 61,419.37

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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.