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Finding the Fourth Proportional to 36,664.74, 50,597.37 and 19,897.74

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Solution

The fourth proportional to 36,664.74, 50,597.37 and 19,897.74 is: 27,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,664.74 : 50,597.37 = 19,897.74 : x
  2. Step 2: Convert to fraction form
    36,664.74/50,597.37 = 19,897.74/x
  3. Step 3: Cross multiply
    36,664.74x = 50,597.37 × 19,897.74
  4. Step 4: Simplify right side
    36,664.74x = 1,006,773,312.94
  5. Step 5: Solve for x
    x = 1,006,773,312.94/36,664.74
  6. Step 6: Final answer
    x = 27,458.90

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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.