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Finding the Fourth Proportional to 50,152.26, 69,209.64 and 27,492.50

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Solution

The fourth proportional to 50,152.26, 69,209.64 and 27,492.50 is: 37,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,152.26 : 69,209.64 = 27,492.50 : x
  2. Step 2: Convert to fraction form
    50,152.26/69,209.64 = 27,492.50/x
  3. Step 3: Cross multiply
    50,152.26x = 69,209.64 × 27,492.50
  4. Step 4: Simplify right side
    50,152.26x = 1,902,746,027.70
  5. Step 5: Solve for x
    x = 1,902,746,027.70/50,152.26
  6. Step 6: Final answer
    x = 37,939.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.