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Finding the Fourth Proportional to 52,134.71, 78,202.02 and 20,962.67

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Solution

The fourth proportional to 52,134.71, 78,202.02 and 20,962.67 is: 31,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,134.71 : 78,202.02 = 20,962.67 : x
  2. Step 2: Convert to fraction form
    52,134.71/78,202.02 = 20,962.67/x
  3. Step 3: Cross multiply
    52,134.71x = 78,202.02 × 20,962.67
  4. Step 4: Simplify right side
    52,134.71x = 1,639,323,138.59
  5. Step 5: Solve for x
    x = 1,639,323,138.59/52,134.71
  6. Step 6: Final answer
    x = 31,443.99

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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.