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Finding the Fourth Proportional to 52,543.84, 78,757.44 and 21,362.08

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Solution

The fourth proportional to 52,543.84, 78,757.44 and 21,362.08 is: 32,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,543.84 : 78,757.44 = 21,362.08 : x
  2. Step 2: Convert to fraction form
    52,543.84/78,757.44 = 21,362.08/x
  3. Step 3: Cross multiply
    52,543.84x = 78,757.44 × 21,362.08
  4. Step 4: Simplify right side
    52,543.84x = 1,682,422,733.88
  5. Step 5: Solve for x
    x = 1,682,422,733.88/52,543.84
  6. Step 6: Final answer
    x = 32,019.41

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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.