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Finding the Fourth Proportional to 54,997.28, 75,886.62 and 33,783.38

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Solution

The fourth proportional to 54,997.28, 75,886.62 and 33,783.38 is: 46,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,997.28 : 75,886.62 = 33,783.38 : x
  2. Step 2: Convert to fraction form
    54,997.28/75,886.62 = 33,783.38/x
  3. Step 3: Cross multiply
    54,997.28x = 75,886.62 × 33,783.38
  4. Step 4: Simplify right side
    54,997.28x = 2,563,706,488.86
  5. Step 5: Solve for x
    x = 2,563,706,488.86/54,997.28
  6. Step 6: Final answer
    x = 46,615.15

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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.