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Finding the Fourth Proportional to 77,705.78, 107,233.81 and 43,714.29

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Solution

The fourth proportional to 77,705.78, 107,233.81 and 43,714.29 is: 60,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,705.78 : 107,233.81 = 43,714.29 : x
  2. Step 2: Convert to fraction form
    77,705.78/107,233.81 = 43,714.29/x
  3. Step 3: Cross multiply
    77,705.78x = 107,233.81 × 43,714.29
  4. Step 4: Simplify right side
    77,705.78x = 4,687,649,868.14
  5. Step 5: Solve for x
    x = 4,687,649,868.14/77,705.78
  6. Step 6: Final answer
    x = 60,325.63

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1.5x scale

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.