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Finding the Fourth Proportional to 52,774.84, 79,164.72 and 29,383.66

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Solution

The fourth proportional to 52,774.84, 79,164.72 and 29,383.66 is: 44,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,774.84 : 79,164.72 = 29,383.66 : x
  2. Step 2: Convert to fraction form
    52,774.84/79,164.72 = 29,383.66/x
  3. Step 3: Cross multiply
    52,774.84x = 79,164.72 × 29,383.66
  4. Step 4: Simplify right side
    52,774.84x = 2,326,149,216.48
  5. Step 5: Solve for x
    x = 2,326,149,216.48/52,774.84
  6. Step 6: Final answer
    x = 44,076.86

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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.