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Finding the Fourth Proportional to 52,561.80, 78,847.74 and 17,503.92

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Solution

The fourth proportional to 52,561.80, 78,847.74 and 17,503.92 is: 26,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,561.80 : 78,847.74 = 17,503.92 : x
  2. Step 2: Convert to fraction form
    52,561.80/78,847.74 = 17,503.92/x
  3. Step 3: Cross multiply
    52,561.80x = 78,847.74 × 17,503.92
  4. Step 4: Simplify right side
    52,561.80x = 1,380,144,533.14
  5. Step 5: Solve for x
    x = 1,380,144,533.14/52,561.80
  6. Step 6: Final answer
    x = 26,257.56

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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.