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Finding the Fourth Proportional to 56,783.93, 78,361.82 and 32,924.43

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Solution

The fourth proportional to 56,783.93, 78,361.82 and 32,924.43 is: 45,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,783.93 : 78,361.82 = 32,924.43 : x
  2. Step 2: Convert to fraction form
    56,783.93/78,361.82 = 32,924.43/x
  3. Step 3: Cross multiply
    56,783.93x = 78,361.82 × 32,924.43
  4. Step 4: Simplify right side
    56,783.93x = 2,580,018,092.64
  5. Step 5: Solve for x
    x = 2,580,018,092.64/56,783.93
  6. Step 6: Final answer
    x = 45,435.71

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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.