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Finding the Fourth Proportional to 36,208.91, 49,970.35 and 20,294.38

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Solution

The fourth proportional to 36,208.91, 49,970.35 and 20,294.38 is: 28,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,208.91 : 49,970.35 = 20,294.38 : x
  2. Step 2: Convert to fraction form
    36,208.91/49,970.35 = 20,294.38/x
  3. Step 3: Cross multiply
    36,208.91x = 49,970.35 × 20,294.38
  4. Step 4: Simplify right side
    36,208.91x = 1,014,117,271.63
  5. Step 5: Solve for x
    x = 1,014,117,271.63/36,208.91
  6. Step 6: Final answer
    x = 28,007.40

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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.