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Finding the Fourth Proportional to 52,761.60, 79,133.76 and 19,497.24

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Solution

The fourth proportional to 52,761.60, 79,133.76 and 19,497.24 is: 29,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,761.60 : 79,133.76 = 19,497.24 : x
  2. Step 2: Convert to fraction form
    52,761.60/79,133.76 = 19,497.24/x
  3. Step 3: Cross multiply
    52,761.60x = 79,133.76 × 19,497.24
  4. Step 4: Simplify right side
    52,761.60x = 1,542,889,910.82
  5. Step 5: Solve for x
    x = 1,542,889,910.82/52,761.60
  6. Step 6: Final answer
    x = 29,242.67

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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.