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Finding the Fourth Proportional to 122,042.49, 183,028.37 and 36,649.90

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Solution

The fourth proportional to 122,042.49, 183,028.37 and 36,649.90 is: 54,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,042.49 : 183,028.37 = 36,649.90 : x
  2. Step 2: Convert to fraction form
    122,042.49/183,028.37 = 36,649.90/x
  3. Step 3: Cross multiply
    122,042.49x = 183,028.37 × 36,649.90
  4. Step 4: Simplify right side
    122,042.49x = 6,707,971,549.29
  5. Step 5: Solve for x
    x = 6,707,971,549.29/122,042.49
  6. Step 6: Final answer
    x = 54,964.23

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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.