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Finding the Fourth Proportional to 36,810.64, 50,798.50 and 20,897.38

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Solution

The fourth proportional to 36,810.64, 50,798.50 and 20,897.38 is: 28,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,810.64 : 50,798.50 = 20,897.38 : x
  2. Step 2: Convert to fraction form
    36,810.64/50,798.50 = 20,897.38/x
  3. Step 3: Cross multiply
    36,810.64x = 50,798.50 × 20,897.38
  4. Step 4: Simplify right side
    36,810.64x = 1,061,555,557.93
  5. Step 5: Solve for x
    x = 1,061,555,557.93/36,810.64
  6. Step 6: Final answer
    x = 28,838.28

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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.