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Finding the Fourth Proportional to 82,044.60, 113,223.92 and 46,232.64

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Solution

The fourth proportional to 82,044.60, 113,223.92 and 46,232.64 is: 63,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,044.60 : 113,223.92 = 46,232.64 : x
  2. Step 2: Convert to fraction form
    82,044.60/113,223.92 = 46,232.64/x
  3. Step 3: Cross multiply
    82,044.60x = 113,223.92 × 46,232.64
  4. Step 4: Simplify right side
    82,044.60x = 5,234,640,732.75
  5. Step 5: Solve for x
    x = 5,234,640,732.75/82,044.60
  6. Step 6: Final answer
    x = 63,802.38

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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.