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Finding the Fourth Proportional to 52,513.80, 78,828.30 and 32,814.60

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Solution

The fourth proportional to 52,513.80, 78,828.30 and 32,814.60 is: 49,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,513.80 : 78,828.30 = 32,814.60 : x
  2. Step 2: Convert to fraction form
    52,513.80/78,828.30 = 32,814.60/x
  3. Step 3: Cross multiply
    52,513.80x = 78,828.30 × 32,814.60
  4. Step 4: Simplify right side
    52,513.80x = 2,586,719,133.18
  5. Step 5: Solve for x
    x = 2,586,719,133.18/52,513.80
  6. Step 6: Final answer
    x = 49,257.89

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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.