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Finding the Fourth Proportional to 82,383.66, 123,400.50 and 55,746

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Solution

The fourth proportional to 82,383.66, 123,400.50 and 55,746 is: 83,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,383.66 : 123,400.50 = 55,746 : x
  2. Step 2: Convert to fraction form
    82,383.66/123,400.50 = 55,746/x
  3. Step 3: Cross multiply
    82,383.66x = 123,400.50 × 55,746
  4. Step 4: Simplify right side
    82,383.66x = 6,879,084,273
  5. Step 5: Solve for x
    x = 6,879,084,273/82,383.66
  6. Step 6: Final answer
    x = 83,500.59

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Why These Related Problems?

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