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Finding the Fourth Proportional to 122,589.50, 183,884.26 and 39,483.50

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Solution

The fourth proportional to 122,589.50, 183,884.26 and 39,483.50 is: 59,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,589.50 : 183,884.26 = 39,483.50 : x
  2. Step 2: Convert to fraction form
    122,589.50/183,884.26 = 39,483.50/x
  3. Step 3: Cross multiply
    122,589.50x = 183,884.26 × 39,483.50
  4. Step 4: Simplify right side
    122,589.50x = 7,260,394,179.71
  5. Step 5: Solve for x
    x = 7,260,394,179.71/122,589.50
  6. Step 6: Final answer
    x = 59,225.25

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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.