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Finding the Fourth Proportional to 85,383.90, 128,104.56 and 53,757

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Solution

The fourth proportional to 85,383.90, 128,104.56 and 53,757 is: 80,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,383.90 : 128,104.56 = 53,757 : x
  2. Step 2: Convert to fraction form
    85,383.90/128,104.56 = 53,757/x
  3. Step 3: Cross multiply
    85,383.90x = 128,104.56 × 53,757
  4. Step 4: Simplify right side
    85,383.90x = 6,886,516,831.92
  5. Step 5: Solve for x
    x = 6,886,516,831.92/85,383.90
  6. Step 6: Final answer
    x = 80,653.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.