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Finding the Fourth Proportional to 77,083.83, 115,627.03 and 27,164.54

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Solution

The fourth proportional to 77,083.83, 115,627.03 and 27,164.54 is: 40,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083.83 : 115,627.03 = 27,164.54 : x
  2. Step 2: Convert to fraction form
    77,083.83/115,627.03 = 27,164.54/x
  3. Step 3: Cross multiply
    77,083.83x = 115,627.03 × 27,164.54
  4. Step 4: Simplify right side
    77,083.83x = 3,140,954,537.34
  5. Step 5: Solve for x
    x = 3,140,954,537.34/77,083.83
  6. Step 6: Final answer
    x = 40,747.25

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1.5x scale

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.