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Finding the Fourth Proportional to 82,957, 114,480.66 and 53,150.92

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Solution

The fourth proportional to 82,957, 114,480.66 and 53,150.92 is: 73,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957 : 114,480.66 = 53,150.92 : x
  2. Step 2: Convert to fraction form
    82,957/114,480.66 = 53,150.92/x
  3. Step 3: Cross multiply
    82,957x = 114,480.66 × 53,150.92
  4. Step 4: Simplify right side
    82,957x = 6,084,752,401.21
  5. Step 5: Solve for x
    x = 6,084,752,401.21/82,957
  6. Step 6: Final answer
    x = 73,348.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.