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Finding the Fourth Proportional to 52,741.44, 79,112.16 and 21,564

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Solution

The fourth proportional to 52,741.44, 79,112.16 and 21,564 is: 32,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,741.44 : 79,112.16 = 21,564 : x
  2. Step 2: Convert to fraction form
    52,741.44/79,112.16 = 21,564/x
  3. Step 3: Cross multiply
    52,741.44x = 79,112.16 × 21,564
  4. Step 4: Simplify right side
    52,741.44x = 1,705,974,618.24
  5. Step 5: Solve for x
    x = 1,705,974,618.24/52,741.44
  6. Step 6: Final answer
    x = 32,346

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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.