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Finding the Fourth Proportional to 36,212.80, 49,970.88 and 20,294.16

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Solution

The fourth proportional to 36,212.80, 49,970.88 and 20,294.16 is: 28,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,212.80 : 49,970.88 = 20,294.16 : x
  2. Step 2: Convert to fraction form
    36,212.80/49,970.88 = 20,294.16/x
  3. Step 3: Cross multiply
    36,212.80x = 49,970.88 × 20,294.16
  4. Step 4: Simplify right side
    36,212.80x = 1,014,117,034.06
  5. Step 5: Solve for x
    x = 1,014,117,034.06/36,212.80
  6. Step 6: Final answer
    x = 28,004.38

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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.