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Finding the Fourth Proportional to 52,580.80, 78,824.19 and 19,293.14

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Solution

The fourth proportional to 52,580.80, 78,824.19 and 19,293.14 is: 28,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,580.80 : 78,824.19 = 19,293.14 : x
  2. Step 2: Convert to fraction form
    52,580.80/78,824.19 = 19,293.14/x
  3. Step 3: Cross multiply
    52,580.80x = 78,824.19 × 19,293.14
  4. Step 4: Simplify right side
    52,580.80x = 1,520,765,850.56
  5. Step 5: Solve for x
    x = 1,520,765,850.56/52,580.80
  6. Step 6: Final answer
    x = 28,922.46

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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.