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Finding the Fourth Proportional to 122,095.26, 183,113.37 and 33,349.23

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Solution

The fourth proportional to 122,095.26, 183,113.37 and 33,349.23 is: 50,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,095.26 : 183,113.37 = 33,349.23 : x
  2. Step 2: Convert to fraction form
    122,095.26/183,113.37 = 33,349.23/x
  3. Step 3: Cross multiply
    122,095.26x = 183,113.37 × 33,349.23
  4. Step 4: Simplify right side
    122,095.26x = 6,106,689,892.21
  5. Step 5: Solve for x
    x = 6,106,689,892.21/122,095.26
  6. Step 6: Final answer
    x = 50,015.78

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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.