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Finding the Fourth Proportional to 83,798.25, 115,640.56 and 62,383.67

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Solution

The fourth proportional to 83,798.25, 115,640.56 and 62,383.67 is: 86,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,798.25 : 115,640.56 = 62,383.67 : x
  2. Step 2: Convert to fraction form
    83,798.25/115,640.56 = 62,383.67/x
  3. Step 3: Cross multiply
    83,798.25x = 115,640.56 × 62,383.67
  4. Step 4: Simplify right side
    83,798.25x = 7,214,082,467.08
  5. Step 5: Solve for x
    x = 7,214,082,467.08/83,798.25
  6. Step 6: Final answer
    x = 86,088.70

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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.