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Finding the Fourth Proportional to 82,314.36, 113,594.22 and 44,588.52

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Solution

The fourth proportional to 82,314.36, 113,594.22 and 44,588.52 is: 61,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314.36 : 113,594.22 = 44,588.52 : x
  2. Step 2: Convert to fraction form
    82,314.36/113,594.22 = 44,588.52/x
  3. Step 3: Cross multiply
    82,314.36x = 113,594.22 × 44,588.52
  4. Step 4: Simplify right side
    82,314.36x = 5,064,998,150.35
  5. Step 5: Solve for x
    x = 5,064,998,150.35/82,314.36
  6. Step 6: Final answer
    x = 61,532.38

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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.