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Finding the Fourth Proportional to 52,532.88, 78,757.88 and 26,224.08

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Solution

The fourth proportional to 52,532.88, 78,757.88 and 26,224.08 is: 39,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,532.88 : 78,757.88 = 26,224.08 : x
  2. Step 2: Convert to fraction form
    52,532.88/78,757.88 = 26,224.08/x
  3. Step 3: Cross multiply
    52,532.88x = 78,757.88 × 26,224.08
  4. Step 4: Simplify right side
    52,532.88x = 2,065,352,945.75
  5. Step 5: Solve for x
    x = 2,065,352,945.75/52,532.88
  6. Step 6: Final answer
    x = 39,315.43

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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.