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Finding the Fourth Proportional to 55,849.84, 83,774.55 and 24,255.79

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Solution

The fourth proportional to 55,849.84, 83,774.55 and 24,255.79 is: 36,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,849.84 : 83,774.55 = 24,255.79 : x
  2. Step 2: Convert to fraction form
    55,849.84/83,774.55 = 24,255.79/x
  3. Step 3: Cross multiply
    55,849.84x = 83,774.55 × 24,255.79
  4. Step 4: Simplify right side
    55,849.84x = 2,032,017,892.14
  5. Step 5: Solve for x
    x = 2,032,017,892.14/55,849.84
  6. Step 6: Final answer
    x = 36,383.59

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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.