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Finding the Fourth Proportional to 82,164.14, 113,386.52 and 44,438.39

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Solution

The fourth proportional to 82,164.14, 113,386.52 and 44,438.39 is: 61,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.14 : 113,386.52 = 44,438.39 : x
  2. Step 2: Convert to fraction form
    82,164.14/113,386.52 = 44,438.39/x
  3. Step 3: Cross multiply
    82,164.14x = 113,386.52 × 44,438.39
  4. Step 4: Simplify right side
    82,164.14x = 5,038,714,578.47
  5. Step 5: Solve for x
    x = 5,038,714,578.47/82,164.14
  6. Step 6: Final answer
    x = 61,324.98

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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.